FN	ISI Export Format
VR	1.0

PT	J
AU	Liu, J Chen, SC Tan, XY
AF	Liu, Jun Chen, Songcan Tan, Xiaoyang
TI	Fractional order singular value decomposition representation for face recognition
SO	PATTERN RECOGNITION
LA	English
DT	Article
DE	singular value decomposition (SVD); Fractional order singular value decomposition representation (FSVDR); face representation (FR); intermediate representation (IR); face recognition
ID	EXPRESSION VARIANT FACES; FEATURE-EXTRACTION; COMMON VECTORS; IMAGE; IDENTIFICATION; EIGENFACES; RETRIEVAL; COMPUTER; FEATURES; SAMPLE
AB	Face representation (FR) plays a typically important role in face recognition and methods such as principal component analysis (PCA) and linear discriminant analysis (LDA) have been received wide attention recently. However, despite of the achieved successes, these FR methods will inevitably lead to poor classification performance in case of great facial variations such as expression, lighting, occlusion and so on, due to the fact that the image gray value matrices on which they manipulate are very sensitive to these facial variations. In this paper, we take notice of the facts that every image matrix can always have the well-known singular value decomposition (SVD) and can be regarded as a composition of a set of base images generated by SVD, and we further point out that the leading base images (those corresponding to large singular values) on one hand are sensitive to the aforementioned facial variations and on the other hand dominate the composition of the face image. Then based on these observations, we subtly deflate the weights of the facial variation sensitive base images by a parameter a and propose a novel fractional order singular value decomposition representation (FSVDR) to alleviate facial variations for face recognition. Finally, our experimental results show that FSVDR can: (1) effectively alleviate facial variations; and (2) form an intermediate representation for many FR methods such as PCA and LDA to significantly improve their classification performance in case of great facial variations. (C) 2007 Pattern Recognition Society. Published by Elsevier Ltd. All rights reserved.
C1	Nanjing Univ Aeronaut & Astronaut, Dept Comp Sci & Engn, Nanjing 210016, Peoples R China.
RP	Chen, SC, Nanjing Univ Aeronaut & Astronaut, Dept Comp Sci & Engn, Nanjing 210016, Peoples R China.
EM	j.liu@nuaa.edu.cn s.chen@nuaa.edu.cn x.tan@nuaa.edu.cn
CR	BELHUMEUR PN, 1997, IEEE T PATTERN ANAL, V19, P711 BOLME D, 2003, 3 INT C COMP VIS SYS, P303 BRUCE V, 1998, FACE RECOGNITION THE BRUNELLI R, 1993, IEEE T PATTERN ANAL, V15, P1042 CEVIKALP H, 2005, IEEE T PATTERN ANAL, V27, P4 CHELLAPPA R, 1995, P IEEE, V83, P705 CHENG Y, 1991, INTELLIGENT ROBOTS C, P85 COX I, 1996, IEEE C COMP VIS PATT, P209 DONATO G, 1999, IEEE T PATTERN ANAL, V21, P974 DUDA RO, 2000, PATTERN CLASSIFICATI EDELMAN S, 1999, REPRESENTATION RECOG ER MJ, 2005, IEEE T NEURAL NETWOR, V16, P679, DOI 10.1109/TNN.2005.844909 FISHER RA, 1936, ANN EUGENIC 2, V7, P179 GOLDSTEIN A, 1992, PATTERN RECOGN, V25, P65 GOLDSTEIN AJ, 1971, P IEEE, V59, P748 GOLUB GH, 1995, MATRIX COMPUTATIONS HARMON LD, 1978, PATTERN RECOGN, V10, P301 HARMON LD, 1981, PATTERN RECOGN, V13, P97 HONG ZQ, 1991, PATTERN RECOGN, V24, P211 KIRBY M, 1990, IEEE T PATTERN ANAL, V12, P103 KONG SG, 2005, COMPUT VIS IMAGE UND, V97, P103, DOI 10.1016/j.cviu.2004.04.001 LEONARDIS A, 2003, PATTERN RECOGN, V36, P1925, DOI 10.1016/S0031-3203(03)00055-4 LIU CJ, 2000, IEEE T IMAGE PROCESS, V9, P132 LIU CJ, 2002, IEEE T IMAGE PROCESS, V11, P467 LIU CJ, 2003, IEEE T NEURAL NETWOR, V14, P919, DOI 10.1109/TNN.2003.813829 LIU J, 2005, 18 AUSTR JOINT C ART, P1221 LIU J, 2006, IMAGE VISION COMPUT, V24, P249, DOI 10.1016/j.imavis.2005.11.007 LIU J, 2006, PATTERN RECOGN LETT, V27, P1002, DOI 10.1016/j.patrec.2005.11.013 MARTIN AM, 1998, FACE DATABASE MARTINEZ AM, 2001, IEEE T PATTERN ANAL, V23, P228 MARTINEZ AM, 2002, IEEE T PATTERN ANAL, V24, P748 MARTINEZ AM, 2005, IEEE T PATTERN ANAL, V27, P1934 PHILLIPS PJ, 1998, IMAGE VISION COMPUT, V16, P295 SWETS DL, 1996, IEEE T PATTERN ANAL, V18, P831 TAN XY, 2005, IEEE T NEURAL NETWOR, V16, P875, DOI 10.1109/TNN.2005.849817 TARR M, 1999, OBJECT RECOGNITION O TIAN Y, 2003, PATTERN RECOGN, V36, P649 TURK M, 1991, J COGNITIVE NEUROSCI, V3, P71 WISKOTT L, 1997, IEEE T PATTERN ANAL, V19, P775 YANG J, 2004, IEEE T PATTERN ANAL, V26, P131 YE J, 2004, ICML, P887 YE JP, 2005, IEEE T PATTERN ANAL, V27, P929 ZHANG DQ, 2005, APPL MATH COMPUT, V163, P895, DOI 10.1016/j.amc.2004.04.016 ZHAO W, 1998, INT C AUT FAC GEST R, P336 ZHAO W, 1999, SUBSPACE LINEAR DISC ZHAO W, 2003, ACM COMPUT SURV, V35, P399
NR	46
TC	0
PU	PERGAMON-ELSEVIER SCIENCE LTD
PI	OXFORD
PA	THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
SN	0031-3203
J9	PATT RECOG
JI	Pattern Recognit.
PD	JAN
PY	2008
VL	41
IS	1
BP	378
EP	395
PG	18
SC	Computer Science, Artificial Intelligence; Engineering, Electrical & Electronic
GA	218PZ
UT	ISI:000250028700029
ER

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PT	J
AU	Duman, O
AF	Duman, Oktay
TI	Regular matrix transformations and rates of convergence of positive linear operators
SO	CALCOLO
LA	English
DT	Article
DE	regular infinite matrices; A-statistical convergence; rates of A-statistical convergence; positive linear operators; the Korovkin theorem; modulus of continuity
ID	STATISTICAL CONVERGENCE
AB	This paper investigates the effects of matrix summability methods on the A-statistical approximation of sequences of positive linear operators defined on the space of all 27 pi-periodic and continuous functions on the whole real axis. The two main tools used in this paper are A-statistical convergence and the modulus of continuity.
C1	TOBB Econ & Technol Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey.
RP	Duman, O, TOBB Econ & Technol Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey.
EM	oduman@etu.edu.tr
CR	ALTOMARE F, 1994, GRUYTER STUDIES MATH, V17 BLEIMANN G, 1980, NEDERL AKAD WETENSCH, V42, P255 DEVORE RA, 1972, LECT NOTES MATH, V293 DUMAN O, 2003, DEMONSTRATIO MATH, V36, P873 DUMAN O, 2003, MATH INEQUAL APPL, V6, P689 FAST H, 1951, C MATH, V2, P241 FREEDMAN AR, 1981, PAC J MATH, V95, P293 FRIDY JA, 1985, ANALYSIS, V5, P301 GADJIEV AD, 2002, ROCKY MT J MATH, V32, P129 HARDY GH, 1949, DIVERGENT SERIES KHAN MK, 1989, J APPROX THEORY, V57, P90 KHAN MK, 1998, J APPROX THEORY, V92, P22 KOLK E, 1993, ANALYSIS, V13, P77 KOROVKIN PP, 1960, LINEAR OPERATORS APP MILLER HI, 1995, T AM MATH SOC, V347, P1811 SRIVASTAVA HM, 2003, MATH COMPUT MODEL, V37, P1307
NR	16
TC	0
PU	SPRINGER
PI	NEW YORK
PA	233 SPRING STREET, NEW YORK, NY 10013 USA
SN	0008-0624
J9	CALCOLO
JI	Calcolo
PY	2007
VL	44
IS	3
BP	159
EP	164
PG	6
SC	Mathematics
GA	216IT
UT	ISI:000249872400003
ER

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PT	J
AU	Duman, O
AF	Duman, O.
TI	A Korovkin type approximation theorems via I-convergence
SO	CZECHOSLOVAK MATHEMATICAL JOURNAL
LA	English
DT	Article
DE	I-convergence; positive linear operator; the classical Korovkin theorem
ID	POSITIVE LINEAR-OPERATORS; STATISTICAL CONVERGENCE; SUMMABILITY
AB	Using the concept of I-convergence we provide a Korovkin type approximation theorem by means of positive linear operators defined on an appropriate weighted space given with any interval of the real line. We also study rates of convergence by means of the modulus of continuity and the elements of the Lipschitz class.
C1	TOBB Univ Econ & Technol, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey.
RP	Duman, O, TOBB Univ Econ & Technol, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey.
EM	oduman@etu.edu.tr
CR	BOJANIC R, 1983, CANADIAN MATH SOC C, V3, P5 BOJANIC R, 1992, J NAT SCI MATH, V32, P5 CHLODOVSKY I, 1929, FUND MATH, V13, P62 CONNOR J, 1989, CAN MATH BULL, V32, P194 DUMAN O, 2003, MATH INEQUAL APPL, V6, P689 DUMAN O, 2004, STUD MATH, V161, P187 FAST H, 1951, C MATH, V2, P241 FREEDMAN AR, 1981, PAC J MATH, V95, P293 FRIDY JA, 1985, ANALYSIS, V5, P301 FRIDY JA, 1991, ANALYSIS, V11, P59 HARDY GH, 1949, DIVERGENT SERIES KHAN MK, 1998, J APPROX THEORY, V92, P22 KOLK E, 1993, ANALYSIS, V13, P77 KOROVKIN PP, 1960, LINEAR OPERATORS THE KOSTYRKO P, 2000, REAL ANAL EXCHANGE, V26, P669 KURATOWSKI C, 1958, TOPOLOGIE, V1 MILLER HI, 1995, T AM MATH SOC, V347, P1811 NIVEN I, 1991, INTRO THEORY NUMBERS ROYDEN HL, 1968, REAL ANAL
NR	19
TC	0
PU	CZECHOSLOVAK MATHEMATICAL JOURNAL
PI	PRAGUE 1
PA	ZITNA 25, PRAGUE 1 115 67, CZECH REPUBLIC
SN	0011-4642
J9	CZECH MATH J
JI	Czech. Math. J.
PY	2007
VL	57
IS	1
BP	367
EP	375
PG	9
SC	Mathematics
GA	177ZU
UT	ISI:000247191800027
ER

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PT	J
AU	Chen, CP Chang, CT
AF	Chen, Chang-Pao Chang, Chi-Tung
TI	Tauberian conditions under which the original convergence of double sequences follows from the statistical convergence of their weighted means
SO	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
LA	English
DT	Article
DE	Tauberian conditions; weighted means; statistical convergence
ID	POINTWISE CONVERGENCE; TRIGONOMETRIC SERIES; THEOREMS
AB	In this paper, we introduce a new type of slow oscillation and slow decrease conditions. We prove that these or their variants are Thuberian conditions from s(mn) (st)under right arrow s to s(mn) -> s. We also prove that they are Tauberian conditions from t(mn)(11) (st)under right arrow s to s(mn) -> s, where t(mn)(11) are the weighted means of the double sequence {s(mn)}(m,n=0)(infinity). Our results not only generalize well-known results, but also solve the conjecture of M6ricz,n, posed in [F. Moricz, Tauberian theorems for double sequences that are statistically summable (C, 1, 1), J. Math. Anal. Appl. 286 (2003) 340-350]. (C) 2006 Elsevier Inc. All rights reserved.
C1	Natl Tsing Hua Univ, Dept Math, Hsinchu 300, Taiwan.
RP	Chen, CP, Natl Tsing Hua Univ, Dept Math, Hsinchu 300, Taiwan.
EM	cpchen@math.nthu.edu.tw
CR	BARON S, 1997, J MATH ANAL APPL, V211, P574 CHEN CP, 1993, J MATH ANAL APPL, V172, P582 CHEN CP, 1994, J MATH ANAL APPL, V185, P629 CHEN CP, 2000, ANAL MATH, V26, P243 CHEN CP, 2007, IN PRESS TAIWANESE J FRIDY JA, 2000, P AM MATH SOC, V128, P2347 HARDY GH, 1949, DIVERGENT SERIES MORICZ F, 1994, STUD MATH, V110, P83 MORICZ F, 2003, J MATH ANAL APPL, V286, P340, DOI 10.1016/S0022-247X(03)00529-8 MORICZ F, 2004, C MATH, V99, P207
NR	10
TC	0
PU	ACADEMIC PRESS INC ELSEVIER SCIENCE
PI	SAN DIEGO
PA	525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA
SN	0022-247X
J9	J MATH ANAL APPL
JI	J. Math. Anal. Appl.
PD	AUG 15
PY	2007
VL	332
IS	2
BP	1242
EP	1248
PG	7
SC	Mathematics, Applied; Mathematics
GA	176YK
UT	ISI:000247120600035
ER

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PT	J
AU	Douroudis, K Tarassi, K Athanassiades, T Giannakopoulos, F Kominakis, A Thalassinos, N Papasteriades, C
AF	Douroudis, K. Tarassi, K. Athanassiades, T. Giannakopoulos, F. Kominakis, A. Thalassinos, N. Papasteriades, Ch.
TI	HLA alleles as predisposal factors for postmenopausal osteoporosis in a Greek population
SO	TISSUE ANTIGENS
LA	English
DT	Article
DE	BMD; HLA; osteoporosis; polymorphisms
ID	MAJOR HISTOCOMPATIBILITY COMPLEX; DEPENDENT DIABETES-MELLITUS; NECROSIS-FACTOR-ALPHA; ANKYLOSING-SPONDYLITIS; RHEUMATOID-ARTHRITIS; BONE MASS; GENETIC-DETERMINANTS; MONONUCLEAR-CELLS; FACTOR-BETA; TNF-ALPHA
AB	It is well established that genetic factors play an important role in the pathogenesis of osteoporosis, a common condition characterized by reduced bone mass and increased fracture risk. The major histocompatibility complex in humans, known as human leukocyte antigen (HLA) region, is the most polymorphic human genetic system and it is known as a cluster of genetic markers, associated with several diseases. In order to evaluate the contribution of HLA alleles in bone mass loss, polymorphisms in the HLA class I (-A, -B and -Cw) and class II (-DR and -DQ) antigens were studied in 126 postmenopausal women of Greek origin. It was found that HLA-B7 (P = 0.069), -DR15 (P = 0.019) and -DQ6 (P = 0.026) were associated with a lower bone mineral density measured at the forearm. This study shows a significant association between HLA alleles and bone mass loss in the population studied.
C1	Evangelismos Med Ctr, Dept Immunol & Histocompatibil, Athens, Greece. Evangelismos Med Ctr, Dept Diabet Endocrinol & Metab, Athens, Greece. Agr Univ Athens, Dept Anim Breeding, Athens, Greece.
RP	Douroudis, K, Univ Tartu, Fac Med, Ctr Mol & Clin Med, Ravila 19, EE-51014 Tartu, Estonia.
EM	drkmb@email.com
CR	1993, AM J MED, V94, P644 ANGELSEN A, 1998, SCAND J UROL NEPHROL, V32, P7 BECK S, 1999, NATURE, V401, P921 BECKER Y, 1995, VIRUS GENES, V10, P195 BENDTZEN K, 1988, SCAND J IMMUNOL, V28, P599 CEDOZ JP, 1995, J RHEUMATOL, V22, P1884 ERSHLER WB, 1997, DEV COMP IMMUNOL, V21, P487 ESCALANTE A, 1993, J RHEUMATOL, V20, P320 GONZALEZROCES S, 1997, TISSUE ANTIGENS, V49, P116 GRUBER HE, 1991, P SOC EXP BIOL MED, V197, P219 GUR A, 2002, RHEUMATOL INT, V22, P194, DOI 10.1007/s00296-002-0223-x GUR A, 2003, YONSEI MED J, V44, P99 HILL AVS, 1992, NATURE, V360, P434 KANIS JA, 1994, J BONE MINER RES, V9, P1137 KELLY PJ, 1990, OSTEOPOROSIS INT, V1, P56 KHAN MA, 1986, DIS MARKERS, V4, P77 MACDONALD BR, 1992, BRIT J RHEUMATOL, V31, P149 MATEO L, 1990, ANN RHEUM DIS, V49, P821 MCMANUS R, 1996, EUR J IMMUNOL, V26, P2113 NATALE VM, 1997, MECH AGEING DEV, V94, P14 PACIFICI R, 1996, J BONE MINER RES, V11, P1043 PAPASTERIADES C, 2004, GENES IMMUN, V5, P58 POCIOT F, 1993, EUR J IMMUNOL, V23, P224 POCOCK NA, 1987, J CLIN INVEST, V80, P706 RIZZOLI R, 2001, J MOL ENDOCRINOL, V26, P79 ROODMAN GD, 1993, CALCIF TISSUE INT S1, V53, P94 SLEMENDA CW, 1991, J BONE MINER RES, V6, P561 SPIES T, 1986, P NATL ACAD SCI USA, V83, P8699 TARASSI K, 2001, EUR J IMMUNOGENET, V28, P346 TOUBERT A, 1988, BRIT J RHEUMATOL S2, V27, P19 TSUJI S, 1998, HUM IMMUNOL, V59, P243 VINASCO J, 1997, TISSUE ANTIGENS, V49, P74 WALLACH S, 1993, CALCIFIED TISSUE INT, V53, P293 WHICHELOW CE, 1996, EUR J IMMUNOGENET, V23, P425 WILL R, 1989, LANCET, V2, P1483 WINCHESTER R, 1994, ADV IMMUNOL, V56, P389 YAO ZB, 1996, J IMMUNOL, V156, P3260
NR	37
TC	0
PU	BLACKWELL PUBLISHING
PI	OXFORD
PA	9600 GARSINGTON RD, OXFORD OX4 2DQ, OXON, ENGLAND
SN	0001-2815
J9	TISSUE ANTIGEN
JI	Tissue Antigens
PD	JUN
PY	2007
VL	69
IS	6
BP	592
EP	596
PG	5
SC	Cell Biology; Immunology; Pathology
GA	166RQ
UT	ISI:000246398100006
ER

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PT	J
AU	Erkus, E Duman, O Srivastava, HM
AF	Erkus, Esra Duman, Oktay Srivastava, H. M.
TI	Statistical approximation of certain positive linear operators constructed by means of the Chan-Chyan-Srivastava polynomials
SO	APPLIED MATHEMATICS AND COMPUTATION
LA	English
DT	Article
DE	Chan-Chyan-Srivastava multivariable polynomials; Lagrange polynomials; A-statistical convergence; positive linear operators; Korovkin approximation theorem; Fourier series; Gibbs phenomenon; modulus of continuity; lipschitz class
ID	CONVERGENCE
AB	In this study, by obtaining some Korovkin type approximation results in statistical sense for certain positive linear operators constructed by means of the Chan-Chyan-Srivastava multivariable polynomials [W.-C.C. Chan, C.-J. Chyan, H.M. Srivastava, The Lagrange polynomials in several variables, Integral Transform. Spec. Funct. 12 (2001) 139-148], we show that our approximation method is stronger than the corresponding classical aspects in the approximation theory settings. Furthermore, we investigate their statistical rates by means of the modulus of continuity and the elements of the Lipschitz class. (c) 2006 Elsevier Inc. All rights reserved.
C1	Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3P4, Canada. Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkey. Canakkale Onsekiz Mart Univ, Fac Sci & Arts, Dept Math, TR-17020 Terzioglu Kampusu, Canakkale, Turkey. TOBB Univ Econ & Technol, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey.
RP	Srivastava, HM, Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3P4, Canada.
EM	erkus@comu.edu.tr oduman@etu.edu.tr harimsri@math.uvic.ca
CR	BOJANIC R, 1992, J NAT SCI MATH, V32, P5 BOOS J, 2000, CLASSICAL MODERN MET CHAN WCC, 2001, INTEGR TRANSF SPEC F, V12, P139 DUMAN O, 2003, MATH INEQUAL APPL, V6, P689 ERDELYI A, 1955, HIGHER TRANSCENDENTA, V3 ERKUS E, 2006, IN PRESS STUD SCI MA, V43 FAST H, 1951, C MATH, V2, P241 FREEDMAN AR, 1981, PAC J MATH, V95, P293 FRIDY JA, 1985, ANALYSIS, V5, P301 GADJIEV AD, 2002, ROCKY MT J MATH, V32, P129 KOLK E, 1993, ANALYSIS, V13, P77 KUTTNER B, 1944, J LOND MATH SOC, V19, P153 SRIVASTAVA HM, 1984, TREATISE GENERATING
NR	13
TC	0
PU	ELSEVIER SCIENCE INC
PI	NEW YORK
PA	360 PARK AVE SOUTH, NEW YORK, NY 10010-1710 USA
SN	0096-3003
J9	APPL MATH COMPUT
JI	Appl. Math. Comput.
PD	NOV 1
PY	2006
VL	182
IS	1
BP	213
EP	222
PG	10
SC	Mathematics, Applied
GA	146EG
UT	ISI:000244916700023
ER

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PT	J
AU	Zeng, XM Chen, X
AF	Zeng, Xiao-Ming Chen, X.
TI	Pointwise approximation by the modified Szasz-Mirakyan operators
SO	JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
LA	English
DT	Article
DE	rate of convergence; functions of bounded variation; class of functions; modified Szasz-Mirakyan operators; Lebesgue-Stieltjes integral
ID	BOUNDED VARIATION; CONVERGENCE
AB	In this paper we obtain an estimate on the rate of convergence of modified Szasz-Mirakyan operators for bounded functions satisfying certain growth condition. In the case of functions of bounded variation our result is better than the known results due to Sahai and Prasad (1993, Publ. Inst. Math. (Beograd) (N.S.) 53, 73-80) and Gupta and Pant (1999, J. Math. Anal. Appl. 233, 476-483). More important, by means of new metric form, our result successfully deals with the pointwise approximation of more general class of functions than the class of functions of bounded variation considered in the references as mentioned above.
C1	Xiamen Univ, Dept Math, Xiamen 361005, Peoples R China.
RP	Zeng, XM, Xiamen Univ, Dept Math, Xiamen 361005, Peoples R China.
EM	xmzeng@jingxian.xmu.edu.cn
CR	CHENG F, 1984, J APPROX THEORY, V40, P226 GUO SS, 1989, J APPROX THEORY, V58, P90 GUPTA V, 1999, J MATH ANAL APPL, V233, P476 KAHN MK, 2002, REND CIRC MAT PA 2 S, V68, P539 MAZHAR SM, 1985, ACTA SCI MATH, V49, P257 OMEY E, 1996, THEOR PROBAB APPL, V41, P178 PYCHTABERSKA P, 2003, J APPROX THEORY, V123, P256, DOI 10.1016/S0021-9045(03)00106-0 SAHAI A, 1993, PUBL I MATH BEOGRAD, V53, P73 ZENG XM, 2000, J APPROX THEORY, V102, P1 ZENG XM, 2001, J INEQUAL APPL, V6, P563
NR	10
TC	0
PU	EUDOXUS PRESS, LLC
PI	CORDOVA
PA	1424 BEAVER TRAIL DRIVE, CORDOVA, TN 38016 USA
SN	1521-1398
J9	J COMPUT ANAL APPL
JI	J. Comput. Anal. Appl.
PD	OCT
PY	2007
VL	9
IS	4
BP	421
EP	429
PG	9
SC	Computer Science, Theory & Methods; Mathematics, Applied
GA	145OT
UT	ISI:000244875100007
ER

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PT	J
AU	Mansour, M Cheema, GS Naguwa, SM Greenspan, A Borchers, AT Keens, CL Gershwin, ME
AF	Mansour, Mark Cheema, Gurtej S. Naguwa, Stanley M. Greenspan, Adam Borchers, Andrea T. Keens, Carl L. Gershwin, M. Eric
TI	Ankylosing spondylitis: A contemporary perspective on diagnosis and treatment
SO	SEMINARS IN ARTHRITIS AND RHEUMATISM
LA	English
DT	Review
DE	seronegative spondyloarthritis; computed tomography; TNF blocking agents; sacroilitis; HLA B27
ID	TUMOR-NECROSIS-FACTOR; RESONANCE-IMAGING EXAMINATIONS; RANDOMIZED CLINICAL-TRIAL; PLACEBO-CONTROLLED TRIAL; DISEASE-ACTIVITY INDEX; HIGH-RESOLUTION CT; RHEUMATOID-ARTHRITIS; SELF-PEPTIDE; FACTOR-ALPHA; SERONEGATIVE SPONDYLOARTHROPATHIES
AB	Objectives: In recent years, great progress has been made in the development of diagnostic tools, therapeutic approaches, and validated outcome measures in the understanding of the pathogenesis of ankylosing spondylitis (AS). The purpose of this review was to summarize these developments. Methods: We performed a PubMed search for the period 1978 to 2005, using the keyword, "ankylosing spondylitis," resulting in a total of 4878 publications, including 778 reviews. Articles were then selected based on their discussion of recent diagnostic tools and new treatment approaches in the pathogenesis of AS, leading to a final total of 104 articles. Results: In recent years, there have been 2 major developments in the management of AS that make earlier diagnosis possible and offer the hope of alleviating pain and preventing structural changes that result in loss of function. These developments include the use of magnetic resonance imaging to visualize the inflammatory changes in the sacroiliac joint and the axial spine, and the demonstration that tumor necrosis factor blocking agents are highly efficacious in reducing spinal inflammation and possibly in slowing radiographic progression. Conclusions: There have been major advances in both the diagnostic tools and the therapeutic regimens available for patients with AS. (c) 2007 Elsevier Inc. All rights reserved.
C1	Univ Calif Davis, Dept Rheuamtol Allergy & Clin Immunol, Sch Med, Davis, CA 95616 USA. Univ Calif Davis, Div Rheumatol Allergy & Clin Immunol, Davis, CA USA.
RP	Gershwin, ME, Univ Calif Davis, Dept Rheuamtol Allergy & Clin Immunol, Sch Med, 451 E Hlth Sci Dr,suite 6510, Davis, CA 95616 USA.
EM	megershwin@ucdavis.edu
CR	ALLEN RL, 1999, J IMMUNOL, V162, P5045 ANDERSON JJ, 2001, ARTHRITIS RHEUM, V44, P1876 ARNETT FC, 2001, ARTHRITIS ALLIED CON, P1311 AUFDERMAUR M, 1989, ANN RHEUM DIS, V48, P628 BAEK HJ, 2004, RHEUMATOLOGY, V43, P1526, DOI 10.1093/rheumatology/keh373 BAETEN D, 2000, ANN RHEUM DIS, V59, P945 BALL EJ, 2001, JOINT BONE SPINE, V68, P378 BARALIAKOS X, 2005, ANN RHEUM DIS, V64, P1462, DOI 10.1136/ard.2004.033472 BARALIAKOS X, 2005, ANN RHEUM DIS, V64, P730, DOI 10.1136/ard.2004.029298 BARALIAKOS X, 2005, ARTHRITIS RES THER, V7, R439 BARALIAKOS X, 2005, ARTHRITIS RHEUM, V52, P1216, DOI 10.1002/art.20977 BENITEZDELCASTILLO JM, 2000, EYE 3A, V14, P340 BENJAMIN M, 2001, J ANAT 5, V199, P503 BOSTAN EE, 2003, RHEUMATOL INT, V23, P121, DOI 10.1007/s00296-002-0261-4 BOYLE LH, 2001, J IMMUNOL, V167, P2619 BOYLE LH, 2004, IMMUNOLOGY, V112, P54, DOI 10.1111/j.1365-2567.2004.01857.x BRANDT J, 2003, ARTHRITIS RHEUM, V48, P1667 BRANDT J, 2005, RHEUMATOLOGY, V44, P342, DOI 10.1093/rheumatology/keh475 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DOI 10.1002/art.11325 DAVIS JC, 2005, ANN RHEUM DIS, V64, P1557, DOI 10.1136/ard.2004.035105 DAVIS JC, 2005, J RHEUMATOL, V32, P1751 DORAN MF, 2003, J RHEUMATOL, V30, P316 DUCHMANN R, 2001, CLIN EXP IMMUNOL, V123, P315 FELDTKELLER E, 2003, RHEUMATOL INT, V23, P61, DOI 10.1007/s00296-002-0237-4 FIORILLO MT, 2000, J CLIN INVEST, V106, P47 FIORILLO MT, 2005, J BIOL CHEM, V280, P2962, DOI 10.1074/jbc.M410807200 FRAUENDORF E, 2003, CLIN EXP IMMUNOL, V134, P351, DOI 10.1046/j.1365-2249.2003.02289.x GARRETT S, 1994, J RHEUMATOL, V21, P2286 GEIJER M, 1998, ACTA RADIOL, V39, P265 GORMAN JD, 2002, NEW ENGL J MED, V346, P1349 GRAN JT, 1997, BRIT J RHEUMATOL, V36, P766 HAMMER RE, 1990, CELL, V63, P1099 HEUFTDORENBOSCH L, 2004, ARTHRIT RHEUM-ARTHR, V51, P154 HOCHBERG MC, 1978, MEDICINE, V57, P463 HULSMEYER M, 2004, J EXP MED, V199, P271, DOI 10.1084/jem.20031690 HULSMEYER M, 2005, J MOL BIOL, V346, P1367, DOI 10.1016/j.jmb.2004.12.047 JOSHI AB, 2002, J ARTHROPLASTY, V17, P427 KELLER C, 2003, ANN RHEUM DIS, V62, P1128, DOI 10.1136/ard.2003.011023 KHAN MA, 1982, ANN INTERN MED, V96, P70 KHAN MA, 1998, SPONDYLARTHRITIDES, P17 KIM TH, 2005, CURR OPIN RHEUMATOL, V17, P400 KIRIS A, 2003, EUR J RADIOL, V47, P71 LALOUX L, 2001, ANN RHEUM DIS, V60, P316 LAMBERT RGW, 2004, ARTHRIT RHEUM-ARTHR, V51, P681, DOI 10.1002/art.20681 LUTHRAGUPTASARMA M, 2004, FEBS LETT, V575, P1, DOI 10.1016/j.febslet.2004.08.037 MACKAY K, 1998, ARTHRITIS RHEUM, V41, P2263 MADER R, 1999, SEMIN ARTHRITIS RHEU, V29, P191 MAGHRAOUI AE, 2003, CLIN RHEUMATOL, V22, P94 MCGONAGLE D, 1998, ARTHRITIS RHEUM, V41, P694 MEAR JP, 1999, J IMMUNOL, V163, P6665 MONNET D, 2004, OPHTHALMOLOGY, V111, P802, DOI 10.1016/j.ophtha.2003.07.011 MONTENEGRO V, 2000, J RHEUMATOL, V27, P411 MUNDINGER A, 1991, RHEUMATOL INT, V11, P183 OLIVIERI I, 1998, BAILLIERE CLIN RHEUM, V12, P665 PARVIZI J, 2001, J BONE JOINT SURG A, V83, P1312 PETERS MJ, 2004, SEMIN ARTHRITIS RHEU, V34, P585, DOI 10.1016/j.semarthrit.2004.07.010 PETTY RE, 2004, J RHEUMATOL, V31, P390 POOLE AR, 1998, AM J MED SCI, V316, P228 RAMOS M, 2002, J BIOL CHEM, V277, P37573, DOI 10.1074/jbc.M205470200 RESNICK D, 1981, DIAGNOSIS BONE JOINT, P1040 REVEILLE JD, 2001, CURR OPIN RHEUMATOL, V13, P265 REVEILLE JD, 2005, AM J MED, V118, P592, DOI 10.1016/j.amjmed.2005.01.001 ROBERTSON LP, 2004, RHEUMATOLOGY, V43, P1565, DOI 10.1093/rheumatology/keh386 RODRIGUE T, 2001, NEUROSURG CLIN N AM, V12, P311 RUDWALEIT M, 2004, ANN RHEUM DIS, V63, P535, DOI 10.1136/ard.2003.011247 RUDWALEIT M, 2004, ANN RHEUM DIS, V63, P665, DOI 10.1136/ard.2003.016386 SAMPAIOBARROS PD, 2001, J RHEUMATOL, V28, P560 SARAUX A, 2005, ANN RHEUM DIS, V64, P1431, DOI 10.1136/ard.2004.029207 SIEPER J, 2002, ANN RHEUM DIS S3, V61, P8 SIEPER J, 2005, ANN RHEUM DIS, V64, P659, DOI 10.1136/ard.2004.028753 SIEPER J, 2005, RHEUMATOLOGY, V44, P1525, DOI 10.1093/rheumatology/kei046 SOUZA AS, 2004, J THORAC IMAG, V19, P259 STONE MA, 2004, RHEUMATOLOGY, V43, P148, DOI 10.1093/rheumatology/keg482 STROBEL ES, 1998, CLIN RHEUMATOL, V17, P524 SUKENIK S, 1987, CLIN RHEUMATOL, V6, P588 TRONTZAS P, 2005, CLIN RHEUMATOL, V24, P583, DOI 10.1007/s10067-005-1106-9 VANDERHEIJDE D, 1999, J RHEUMATOL, V26, P951 VANDERHEIJDE D, 2005, ARTHRITIS RHEUM, V52, P582, DOI 10.1002/art.20852 VANDERLINDEN S, 1984, ARTHRITIS RHEUM, V27, P361 VANDERLINDEN S, 1998, RHEUM DIS CLIN N AM, V24, P663 VINJE O, 1985, SCAND J RHEUMATOL, V14, P279 WANDERS A, 2005, ARTHRITIS RHEUM, V52, P1756, DOI 10.1002/art.21054 YAGAN R, 1983, CLIN RHEUMATOL, V2, P285 YU W, 1998, SKELETAL RADIOL, V27, P311 ZOCHLING J, 2005, ANN RHEUM DIS, V65, P442 ZOU J, 2003, RHEUMATOLOGY, V42, P846, DOI 10.1093/rheumatology/keg230
NR	104
TC	1
PU	W B SAUNDERS CO-ELSEVIER INC
PI	PHILADELPHIA
PA	1600 JOHN F KENNEDY BOULEVARD, STE 1800, PHILADELPHIA, PA 19103-2899 USA
SN	0049-0172
J9	SEMIN ARTHRITIS RHEUM
JI	Semin. Arthritis Rheum.
PD	FEB
PY	2007
VL	36
IS	4
BP	210
EP	223
PG	14
SC	Rheumatology
GA	139HV
UT	ISI:000244423800002
ER

---

PT	J
AU	Balcerzak, M Dems, K Komisarski, A
AF	Balcerzak, Marek Dems, Katarzyna Komisarski, Andrzej
TI	Statistical convergence and ideal convergence for sequences of functions
SO	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
LA	English
DT	Article
DE	I-uniform convergence; equi-statistical convergence; statistical Egorov's theorem; statistical convergence in measure
AB	Let I subset of P(N) stand for an ideal containing finite sets. We discuss various kinds of statistical convergence and I-convergence for sequences of functions with values in R or in a metric space. For real valued measurable functions defined on a measure space (X, M, mu), we obtain a statistical version of the Egorov theorem (when mu(X) < infinity). We show that, in its assertion, equi-statistical convergence on a big set cannot be replaced by uniform statistical convergence. Also, we consider statistical convergence in measure and I-convergence in measure, with some consequences of the Riesz theorem. We prove that outer and inner statistical convergences in measure (for sequences of measurable functions) are equivalent if the measure is finite. (c) 2006 Elsevier Inc. All rights reserved.
C1	Tech Univ Lodz, Math Inst, PL-93005 Lodz, Poland. Tech Univ Lodz, Ctr Math & Phys, PL-00924 Lodz, Poland. Univ Lodz, Fac Math, PL-90238 Lodz, Poland.
RP	Balcerzak, M, Tech Univ Lodz, Math Inst, ul Wolczanska 215, PL-93005 Lodz, Poland.
EM	mbalce@p.lodz.pl kasidems@p.lodz.pl andkom@math.uni.lodz.pl
CR	BALCERZAK M, 2004, REAL ANAL EXCHANGE, V30, P267 BARTLE R, 1980, AM MATH MONTHLY, V87, P628 CONNOR J, 2000, J MATH ANAL APPL, V244, P251 COOKE RG, 1950, INFINITE MATRICES SE DEMS K, 2004, REAL ANAL EXCHANGE, V30, P123 FARAH I, 2000, MEM AM MATH SOC, V148 FAST H, 1951, C MATH, V2, P241 FEDERER H, 1969, GEOMETRIC MEASURE TH FREMLIN DH, 2001, MEASURE THEORY, V2 FRIDY JA, 1985, ANALYSIS, V5, P301 FRIDY JA, 1998, J MATH ANAL APPL, V228, P73 HARTMAN S, 1951, C MATH, V2, P245 KATETOV M, 1968, COMMENT MATH U CAROL, V9, P173 KATETOV M, 1972, THEORY SETS TOPOLOGY, P265 KOSTYRKO P, 2000, REAL ANAL EXCHANGE, V26, P669 LAHIRI BK, 2003, MATH COMMUN, V8, P151 MILLER HI, 1995, T AM MATH SOC, V347, P1811 MILLER HI, 2001, ACTA MATH HUNG, V93, P135 NURRAY F, 2000, J MATH ANAL APPL, V245, P513 PAPANASTASSIOU N, 2002, ATTI SEM MATH FIS U, V50, P355 PEHLIVAN S, 2004, J MATH ANAL APPL, V299, P333, DOI 10.1016/j.jmaa.2004.04.049 ROZYCKI EP, 1965, FUND MATH, V56, P289 RUDIN W, 1976, PRINCIPLES MATH ANAL SALAT T, 1980, MATH SLOVACA, V30, P139 STEINHAUS H, 1951, C MATH, V2, P73
NR	25
TC	0
PU	ACADEMIC PRESS INC ELSEVIER SCIENCE
PI	SAN DIEGO
PA	525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA
SN	0022-247X
J9	J MATH ANAL APPL
JI	J. Math. Anal. Appl.
PD	APR 1
PY	2007
VL	328
IS	1
BP	715
EP	729
PG	15
SC	Mathematics, Applied; Mathematics
GA	130LC
UT	ISI:000243800100052
ER

---

PT	J
AU	Khuri, AI Mukherjee, L Sinha, BK Ghosh, M
AF	Khuri, Andre I. Mukherjee, Bhramar Sinha, Bikas K. Ghosh, Malay
TI	Design issues for generalized linear models: A review
SO	STATISTICAL SCIENCE
LA	English
DT	Review
DE	Bayesian design; dependence on unknown parameters; locally optimal design; logistic regression; response surface methodology; quantal dispersion graphs; sequential design
ID	BAYESIAN EXPERIMENTAL-DESIGN; BINARY RESPONSE EXPERIMENTS; STOCHASTIC APPROXIMATION PROCEDURES; OPTIMUM EXPERIMENTAL-DESIGNS; PARAMETER NONLINEAR MODELS; EXPONENTIAL-GROWTH MODEL; LOGISTIC-REGRESSION; QUANTAL RESPONSE; SEQUENTIAL ESTIMATION; SURFACE METHODOLOGY
AB	Generalized linear models (GLMs) have been used quite effectively in the modeling of a mean response under nonstandard conditions, where discrete as well as continuous data distributions can be accommodated. The choice of design for a GLM is a very important task in the development and building of an adequate model. However, one major problem that handicaps the construction of a GLM design is its dependence on the unknown parameters of the fitted model. Several approaches have been proposed in the past 25 years to solve this problem. These approaches, however, have provided only partial solutions that apply in only some special cases, and the problem, in general, remains largely unresolved. The purpose of this article is to focus attention on the aforementioned dependence problem. We provide a survey of various existing techniques dealing with the dependence problem. This survey includes discussions concerning locally optimal designs, sequential designs, Bayesian designs and the quantile dispersion graph approach for comparing designs for GLMs.
C1	Univ Florida, Dept Stat, Gainesville, FL 32611 USA. Indian Stat Inst, Div Theoret Stat & Math, Calcutta 700108, India.
RP	Khuri, AI, Univ Florida, Dept Stat, Gainesville, FL 32611 USA.
EM	ufakhuri@stat.ufl.edu mukherjee@stat.ufl.edu sinhabikas@yahoo.com ghoshm@stat.ufl.edu
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PARMIGIANI G, 1993, J AM STAT ASSOC, V88, P622 PARMIGIANI G, 1994, ASPECTS UNCERTAINTY, P329 PARMIGIANI G, 1995, MODA, V4, P37 PILZ J, 1991, BAYESIAN ESTIMATION PRONZATO L, 1987, MODEL ORIENTED DATA, P77 PUKELSHEIM F, 1993, OPTIMAL DESIGN EXPT RIDOUT MS, 1995, APPL STAT-J ROY ST C, V44, P153 ROBBINS H, 1951, ANN MATH STAT, V22, P400 ROBBINS H, 1971, OPTIMIZING METHODS S, P233 ROBINSON KS, 2003, COMPUT STAT DATA AN, V43, P47 ROSENBERGER WF, 1997, STAT MED, V16, P2245 RUPPERT D, 1984, BIOMETRICS, V40, P535 SEBASTIANI P, 1997, J STAT PLAN INFER, V59, P359 SEBASTIANI P, 1998, J STAT PLAN INFER, V74, P177 SIELKEN RL, 1973, Z WAHRSCH VERW GEBIE, V26, P67 SILVEY SD, 1980, OPTIMAL DESIGN SITTER RR, 1992, BIOMETRICS, V48, P1145 SITTER RR, 1993, SCAND J STAT, V20, P329 SITTER RR, 1995, STAT SINICA, V5, P405 SITTER RR, 1997, STAT SINICA, V7, P941 SITTER RR, 1999, BIOMETRICS, V55, P396 SMITH DM, 1998, COMPSTAT98, P455 SMITH DM, 2003, J STAT PLAN INFER, V113, P617 SMITH DM, 2005, J STAT PLAN INFER, V133, P463, DOI 10.1016/j.jspi.2004.01.017 SPEARS FM, 1997, BIOMETRICS, V53, P1 STEINBERG DM, 1985, BIOMETRIKA, V72, P513 STORER BE, 1989, BIOMETRICS, V45, P925 STORER BE, 1990, STAT MED, V9, P229 STROUP DF, 1982, Z WAHRSCHEINLICHKEIT, V60, P535 SUN DC, 1996, J STAT PLAN INFER, V52, P289 TIERNEY L, 1990, LISP STAT OBJECT ORI TOMAN B, 1993, J STAT PLAN INFER, V35, P383 TOMAN B, 1994, STAT SINICA, V4, P603 TSUTAKAWA R, 1980, APPL STATIST, V29, P25 TSUTAKAWA RK, 1972, J AM STAT ASSOC, V67, P584 VENTER JH, 1967, ANN MATH STAT, V38, P181 WEI CZ, 1985, ANN STAT, V13, P1498 WETHERILL GB, 1963, J ROY STAT SOC B MET, V25, P1 WHITE LV, 1973, BIOMETRIKA, V60, P345 WHITE LV, 1975, THESIS U LONDON WHITTLE P, 1973, J ROY STAT SOC B MET, V35, P123 WIJESINHA MC, 1987, COMM STAT SIMULATION, V16, P239 WIJESINHA MC, 1987, J STAT PLAN INFER, V16, P179 WU CFJ, 1985, J AM STAT ASSOC, V80, P974 WU CFJ, 1988, OPTIMAL DESIGN ANAL, P213 YAN ZW, 2002, J CLIMATE, V15, P2073 ZACKS S, 1977, MULTIVARIATE ANAL, V4, P209 ZHU W, 1998, COMMUN STAT-THEOR M, V27, P1581 ZHU W, 2001, STAT MED, V20, P123 ZOCCHI SS, 1999, BIOMETRICS, V55, P437
NR	148
TC	0
PU	INST MATHEMATICAL STATISTICS
PI	BEACHWOOD
PA	PO BOX 22718, BEACHWOOD, OH 44122 USA
SN	0883-4237
J9	STAT SCI
JI	Stat. Sci.
PD	AUG
PY	2006
VL	21
IS	3
BP	376
EP	399
PG	24
SC	Statistics & Probability
GA	130CG
UT	ISI:000243776200006
ER

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PT	J
AU	Pincus, T Sokka, T
AF	Pincus, Theodore Sokka, Tuulikki
TI	Quantitative measures to assess patients with rheumatic diseases: 2006 update
SO	RHEUMATIC DISEASE CLINICS OF NORTH AMERICA
LA	English
DT	Review
ID	HEALTH-ASSESSMENT QUESTIONNAIRE; SYSTEMIC-LUPUS-ERYTHEMATOSUS; CORE DATA SET; LONG-TERM OUTCOMES; FIBROMYALGIA IMPACT QUESTIONNAIRE; ERYTHROCYTE SEDIMENTATION-RATE; ARTHRITIS CLINICAL-TRIALS; VASCULITIS ACTIVITY SCORE; PROSPECTIVE FOLLOW-UP; ACUTE-PHASE RESPONSE
C1	Vanderbilt Univ, Sch Med, Div Rheumatol & Immunol, Med Ctr,Sch Med, Nashville, TN 37232 USA. Vanderbilt Univ, Sch Med, Div Rheumatol & Immunol, Dept Med,Med Ctr, Nashville, TN 37232 USA. Jyvaskyla Cent Hosp, Dept Rheumatol, Jyvaskyla, Finland.
RP	Pincus, T, Vanderbilt Univ, Sch Med, Div Rheumatol & Immunol, Med Ctr,Sch Med, 203 Oxford House,Box 5, Nashville, TN 37232 USA.
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P1 PINCUS T, 1999, ARTHRITIS RHEUM, V42, P2220 PINCUS T, 1999, J RHEUMATOL, V26, P473 PINCUS T, 2000, J RHEUMATOL, V27, P2727 PINCUS T, 2002, ARTHRITIS RHEUM, V46, P851 PINCUS T, 2002, CLIN EXP RHEUMAT S27, V20, S42 PINCUS T, 2003, ARTHRITIS RHEUM, V48, P625, DOI 10.1002/art.10824 PINCUS T, 2003, BEST PRACT RES CL RH, V17, P753, DOI 10.1016/S1521-6942(03)00077-9 PINCUS T, 2004, ARTHRITIS RHEUM, V50, P1351, DOI 10.1002/art.20161 PINCUS T, 2004, RHEUM DIS CLIN N AM, V30, P725, DOI 10.1016/j.rdc.2004.08.001 PINCUS T, 2005, ARTHRITIS RHEUM, V52, P1031, DOI 10.1002/art.20995 PINCUS T, 2005, CLIN EXP RHEUMAT S39, V23, S1 PINCUS T, 2005, CLIN EXP RHEUMAT S39, V23, S109 PINCUS T, 2005, J RHEUMATOL, V32, P1432 PINCUS T, 2005, J RHEUMATOL, V32, P575 PINCUS T, 2006, J RHEUMATOL, V33, P448 PREVOO MLL, 1995, ARTHRITIS RHEUM, V38, P44 PUOLAKKA K, 2004, ARTHRITIS RHEUM, V50, P55, DOI 10.1002/art.11436 PUOLAKKA K, 2005, ANN RHEUM DIS, V64, P130, DOI 10.1136/ard.2003.019034 PUOLAKKA K, 2005, ARTHRITIS 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SOKKA T, 2005, CLIN EXP RHEUMAT S39, V23, S58 SOLOMON DH, 2002, ARTHRIT RHEUM-ARTHR, V47, P434, DOI 10.1002/art.10561 STEINBROCKER O, 1949, JAMA-J AM MED ASSOC, V140, P659 STONE JH, 2001, ARTHRITIS RHEUM, V44, P912 SWAAK AJG, 2001, LUPUS, V10, P51 THOMPSON PW, 1987, ARTHRITIS RHEUM, V30, P618 TUGWELL P, 1993, J RHEUMATOL, V20, P527 TUGWELL P, 2000, ARTHRITIS RHEUM, V43, P506 VANDERHEIJDE D, 1999, J RHEUMATOL, V26, P743 VANDERHEIJDE D, 2005, ANN RHEUM DIS, V64, P1582, DOI 10.1136/ard.2004.034371 VANDERHEIJDE DMFM, 1992, ARTHRITIS RHEUM, V35, P26 VANDERHEIJDE DMFM, 1993, J RHEUMATOL, V20, P579 VANLEEUWEN MA, 1997, J RHEUMATOL, V24, P20 VANRIEL PLCM, 1992, BRIT J RHEUMATOL, V31, P793 WARE JE, 1992, MED CARE, V30, P473 WEINBLATT ME, 1996, ANN INTERN MED, V124, P773 WELLS GA, 2005, J RHEUMATOL, V32, P2016 WELSING PMJ, 2001, ARTHRITIS RHEUM, V44, P2009 WHITINGOKEEFE QE, 1999, ARTHRITIS RHEUM, V42, P2365 WOLFE F, 1988, J RHEUMATOL, V15, P1480 WOLFE F, 1991, J RHEUMATOL, V18, P1298 WOLFE F, 1994, J RHEUMATOL, V21, P1227 WOLFE F, 1998, ARTHRITIS RHEUM, V41, P1072 WOLFE F, 1998, J RHEUMATOL, V25, P2108 WOLFE F, 1999, ARTHRITIS RHEUM, V42, P1797 WOLFE F, 2004, ARTHRITIS RHEUM, V50, P3296 WOLFE F, 2005, J RHEUMATOL, V32, P2410 ZOCHLING J, 2005, CLIN EXP RHEUMAT S39, V23, S133
NR	158
TC	0
PU	W B SAUNDERS CO-ELSEVIER INC
PI	PHILADELPHIA
PA	1600 JOHN F KENNEDY BOULEVARD, STE 1800, PHILADELPHIA, PA 19103-2899 USA
SN	0889-857X
J9	RHEUM DIS CLIN N AMER
JI	Rheum. Dis. Clin. North Am.
PD	DEC
PY	2006
VL	32
SU	Suppl. 1
BP	29
EP	36
PG	8
SC	Rheumatology
GA	126TW
UT	ISI:000243539400005
ER

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PT	J
AU	Duman, O Ozarslan, MA Dogru, O
AF	Duman, O. Oezarslan, M. A. Dogru, O.
TI	On integral type generalizations of positive linear operators
SO	STUDIA MATHEMATICA
LA	English
DT	Article
DE	A-statistical convergence; Durrmeyer type generalization; Kantorovich type generalization; Korovkin type theorem; modulus of continuity; Lipschitz class
ID	STATISTICAL CONVERGENCE; APPROXIMATION
AB	We introduce a sequence of positive linear operators including many integral type generalizations of well known operators. Using the concept of statistical convergence we obtain some Korovkin type approximation theorems for those operators, and compute the rates of statistical convergence. Furthermore, we deal with the local approximation and the rth order generalization of our operators.
C1	TOBB Econ & Technol Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey. Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkey. Eastern Mediterranean Univ, Fac Art & Sci, Dept Math, Gazimagusa, Turkey.
RP	Duman, O, TOBB Econ & Technol Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey.
EM	oduman@etu.edu.tr ozarslan@mail.emu.edu.tr dogru@science.ankara.edu.tr
CR	AGRATINI O, 2001, MATH NOTES MISKOLE, V2, P3 ALTOMARE F, 1994, DEGRUYTER STUD MATH, V17 DERRIENNIC MM, 1981, J APPROX THEORY, V31, P325 DEVORE RA, 1972, LECT NOTES MATH, V293 DOGRU O, 1998, MATH BALKANICA, V12, P359 DOGRU O, 2003, STUD SCI MATH HUNG, V40, P359 DUMAN O, 2003, MATH INEQUAL APPL, V6, P689 DUMAN O, 2004, STUD MATH, V161, P187 FAST H, 1951, C MATH, V2, P241 FREEDMAN AR, 1981, PAC J MATH, V95, P293 FRIDY JA, 1985, ANALYSIS, V5, P301 FRIDY JA, 1991, ANALYSIS, V11, P59 FRIDY JA, 1997, P AM MATH SOC, V125, P3625 GADJIEV AD, 2002, ROCKY MT J MATH, V32, P129 HARDY GH, 1949, DIVERGENT SERIES HEILMANN M, 1989, APPROX THEORY APPL, V5, P105 KANTOROVICH LV, 1938, STUD MATH, V7, P49 KIROV GH, 1993, MATH BALKANICA, V7, P149, UNSP MR 95I:41048 KOLK E, 1991, ACTA COMMENT U TARTU, V928, P41 KOLK E, 1993, ANALYSIS, V13, P77 KOROVKIN PP, 1960, LINEAR OPERATORS THE LI S, 1997, J APPROX THEORY, V88, P139 MILLER HI, 1995, T AM MATH SOC, V347, P1811 ROYDEN HL, 1968, REAL ANAL
NR	24
TC	0
PU	POLISH ACAD SCIENCES INST MATHEMATICS
PI	WARSAW 10
PA	SNIADECKICH 8, PO BOX 21,, 00-956 WARSAW 10, POLAND
SN	0039-3223
J9	STUD MATH
JI	Studia Math.
PY	2006
VL	174
IS	1
BP	1
EP	12
PG	12
SC	Mathematics
GA	086RN
UT	ISI:000240690800001
ER

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PT	J
AU	Duman, O Erkus, E Gupta, V
AF	Duman, Oktay Erkus, Esra Gupta, Vijay
TI	Statistical rates on the multivariate approximation theory
SO	MATHEMATICAL AND COMPUTER MODELLING
LA	English
DT	Article
DE	A-statistical convergence; positive linear operators; statistical rates; modulus of continuity; the Korovkin theorem
ID	CONVERGENCE; OPERATORS; SUMMABILITY
AB	Statistical rates of approximations by means of positive linear operators defined on the space of multivariate continuous functions are studied. Furthermore, displaying an example, it is shown that our statistical rates are more efficient than the classical aspects in the approximation theory. (c) 2006 Elsevier Ltd. All rights reserved.
C1	Canakkale Onsekiz Mart Univ, Fac Sci & Arts, Dept Math, TR-17020 Canakkale, Turkey. TOBB Univ Econ & Technol, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey. Netaji Subhas Inst Technol, Sch Appl Sci, New Delhi 110075, India.
RP	Erkus, E, Canakkale Onsekiz Mart Univ, Fac Sci & Arts, Dept Math, TR-17020 Canakkale, Turkey.
EM	oduman@etu.edu.tr erkus@comu.edu.tr vijaygupta2001@hotmail.com
CR	BOJANIC R, 1983, CANADIAN MATH SOC C, V3, P5 BOJANIC R, 1992, J NAT SCI MATH, V32, P5 BOOS J, 2000, CLASSICAL MODERN MET CHENEY EW, 1964, CAN J MATH, V16, P241 DEVORE RA, 1993, CONSTRUCTIVE APPROXI DUMAN O, 2003, MATH INEQUAL APPL, V6, P689 ERKUS E, IN PRESS STUDIA SCI FAST H, 1951, C MATH, V2, P241 FREEDMAN AR, 1981, PAC J MATH, V95, P293 FRIDY JA, 1978, CAN J MATH, V30, P808 FRIDY JA, 1985, ANALYSIS, V5, P301 FRIDY JA, 2003, ACTA SCI MATH SZEGED, V69, P147 GADJIEV AD, 2002, ROCKY MT J MATH, V32, P129 GUPTA V, 1999, J MATH ANAL APPL, V233, P476 HARDY GH, 1949, DIVERGENT SERIES KOLK E, 1993, ANALYSIS, V13, P77 KOROVKIN PP, 1960, LINEAR OPERATORS APP KUTTNER B, 1944, J LOND MATH SOC, V19, P153 MILLER HI, 1983, RAD ODJELJ PRIROD MA, V22, P39 SRIVASTAVA HM, 2003, MATH COMPUT MODEL, V37, P1307 SZASZ O, 1950, T AM MATH SOC, V69, P440
NR	21
TC	0
PU	PERGAMON-ELSEVIER SCIENCE LTD
PI	OXFORD
PA	THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
SN	0895-7177
J9	MATH COMPUT MODELLING
JI	Math. Comput. Model.
PD	NOV
PY	2006
VL	44
IS	9-10
BP	763
EP	770
PG	8
SC	Computer Science, Interdisciplinary Applications; Computer Science, Software Engineering; Mathematics, Applied
GA	084UJ
UT	ISI:000240559600001
ER

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PT	J
AU	Khan, MA
AF	Khan, Muhammad Asim
TI	Ankylosing spondylitis: A dual perspective of current issues and challenges
SO	JOURNAL OF RHEUMATOLOGY
LA	English
DT	Article
DE	ankylosing spondylitis; diagnosis; treatment
ID	WORK DISABILITY; HLA-B27; DIAGNOSIS; SPONDYLOARTHROPATHIES; THERAPY; DISEASE; LIFE; NEED
AB	This series of articles on ankylosing spondylitis (AS) provides insight into the burden of disease and focuses on early diagnosis and effective management. AS leads to progressive functional impairment over time and has tremendous impact on society at large in terms of economic costs and indirect costs associated with physical impairment and loss of employment. Early diagnosis is crucial now that we have more effective therapy with tumor necrosis factor (TNF) antagonists, which suppress disease activity and improve the functional ability of patients whose disease is refractory to conventional drug therapy. Early identification. of variables that help predict severe disease with bad functional prognosis is needed. If biological therapy with TNF inhibitors is proven to retard disease progression and prevent or delay functional limitations, insight into such prognosticators will help us offer the correct treatment to the correct patient at the correct time. There is also a need to demonstrate longterm benefits of such a therapy as well as a favorable cost/benetit ratio to help convince healthcare authorities, insurance companies, and others of the utility of these drugs for treating patients with AS refractory to conventional drug therapy.
C1	Case Western Reserve Univ, Div Rheumatol, Metrohlth Med Ctr, Cleveland, OH 44109 USA.
RP	Khan, MA, Case Western Reserve Univ, Div Rheumatol, Metrohlth Med Ctr, 2500 MetroHlth Dr, Cleveland, OH 44109 USA.
EM	mkhan@metrohealth.org
CR	BARKHAM N, 2005, RHEUMATOLOGY, V44, P1277, DOI 10.1093/rheumatology/keh713 BOONEN A, 2001, ANN RHEUM DIS, V60, P1033 BOONEN A, 2001, ANN RHEUM DIS, V60, P353 BOONEN A, 2005, EXPERT REV PHARMACOE, V5, P163 BOONEN A, 2006, J RHEUMATOL S78, V33, P4 CLEGG DO, 2006, J RHEUMATOL S78, V33, P24 DAVIS JC, 2005, ARTHRIT RHEUM-ARTHR, V53, P494, DOI 10.1002/art.21330 DOUGADOS M, 2002, ANN RHEUM DIS S3, V61, P40 ELYAN M, 2006, J RHEUMATOL S78, V33, P12 FELDTKELLER E, 2000, CURR OPIN RHEUMATOL, V12, P239 FELDTKELLER E, 2003, RHEUMATOL INT, V23, P61, DOI 10.1007/s00296-002-0237-4 FELTKAMP TEW, 1996, IMMUNOL TODAY, V17, P5 KHAN MA, 1977, ARTHRITIS RHEUM, V20, P909 KHAN MA, 1977, J RHEUMATOL S3, V4, P39 KHAN MA, 1981, J RHEUMATOL, V8, P86 KHAN MA, 1982, ANN INTERN MED, V96, P70 KHAN MA, 1985, ARTHRITIS RHEUM, V28, P40 KHAN MA, 1990, SEMIN ARTHRITIS RHEU, V20, P107 KHAN MA, 1990, SPINE STATE ART REV KHAN MA, 1992, SPONDYLOARTHROPATHEI KHAN MA, 1995, CURR OPIN RHEUMATOL, V7, P263 KHAN MA, 2002, ANN INTERN MED, V136, P896 KHAN MA, 2002, CLIN EXP RHEUMAT S28, V20, S6 KHAN MA, 2003, RHEUMATOLOGY, P1161 KHAN MA, 2005, ATLAS RHEUMATOLOGY, P151 NEWMAN PA, 2003, RHEUM DIS CLIN N AM, V29, P561, DOI 10.1016/S0889-857X(03)00046-2 RUDWALEIT M, 2004, ANN RHEUM DIS, V63, P535, DOI 10.1136/ard.2003.011247 RUDWALEIT M, 2004, ANN RHEUM DIS, V63, P665, DOI 10.1136/ard.2003.016386 RUDWALEIT M, 2005, ARTHRITIS RHEUM, V52, P1000, DOI 10.1002/art.20990 VANROYEN BJ, 2006, ANKYLOSING SPONDYLIT WEISMAN MH, 2006, ANKYLOSING SPONDYLIT
NR	31
TC	0
PU	J RHEUMATOL PUBL CO
PI	TORONTO
PA	920 YONGE ST, SUITE 115, TORONTO, ONTARIO M4W 3C7, CANADA
SN	0315-162X
J9	J RHEUMATOL
JI	J. Rheumatol.
PD	SEP
PY	2006
VL	33
SU	Suppl. 78
BP	1
EP	3
PG	3
SC	Rheumatology
GA	083PD
UT	ISI:000240469800001
ER

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PT	J
AU	Boonen, A van der Linden, SM
AF	Boonen, Annelies van der Linden, Sjef M.
TI	The burden of ankylosing spondylitis
SO	JOURNAL OF RHEUMATOLOGY
LA	English
DT	Article
DE	ankylosing spondylitis; morbidity; mortality; cost of illness
ID	QUALITY-OF-LIFE; GENERAL-POPULATION; WORK DISABILITY; RHEUMATOID-ARTHRITIS; EPIDEMIOLOGICAL SURVEY; FUNCTIONAL DISABILITY; VERTEBRAL FRACTURES; COST-EFFECTIVENESS; DISEASE-ACTIVITY; BOWEL-DISEASE
AB	The acute as well as chronic clinical features of ankylosing spondylitis (AS) are a burden to the patient and society. Apart from the axial and articular manifestations, extraarticular AS-related comorbidities such as uveitis, inflammatory bowel disease, and psoriasis contribute to the burden of the disease. In addition, a large proportion of patients have osteoporosis or osteopenia, which may be associated with fractures and contribute to kyphosis. All these features result in decreased quality of life. Moreover, patients with AS have an increased mortality rate. The impact of this disease also can be seen in various aspects of workforce participation, from requiring more assistance at paid work to withdrawal from the workforce. Further, patients with AS and, subsequently, society are affected by substantial healthcare costs related to medications and healthcare provider expenses. Early diagnosis and management of patients will likely prevent functional disability and improve patient outcomes.
C1	Univ Hosp Maastricht, Dept Med, Div Rheumatol, NL-6202 AZ Maastricht, Netherlands. Univ Maastricht, CAPHRI Res Inst, Maastricht, Netherlands.
RP	Boonen, A, Univ Hosp Maastricht, Dept Med, Div Rheumatol, POB 5800, NL-6202 AZ Maastricht, Netherlands.
EM	aboo@sint.azm.nl
CR	AKKOC N, 2005, ARTHRITIS RHEUM, V52, P4048, DOI 10.1002/art.21492 ALAMANOS Y, 2004, RHEUMATOLOGY, V43, P615, DOI 10.1093/rheumatology/keh133 ALARANTA H, 2002, CLIN EXP RHEUMATOL, V20, P66 ARIZAARIZA R, 2003, ARTHRIT RHEUM-ARTHR, V49, P483, DOI 10.1002/art.11197 BAETEN D, 2002, BEST PRACT RES CL RH, V16, P537, DOI 10.1053/berh.2002.0249 BANARES A, 1998, RHEUM DIS CLIN N AM, V24, P771 BARLOW JH, 2001, ARTHRIT RHEUM-ARTHR, V45, P424 BOONEN A, 2001, ANN RHEUM DIS, V60, P1033 BOONEN A, 2001, ANN RHEUM DIS, V60, P353 BOONEN A, 2001, J RHEUMATOL, V28, P1056 BOONEN A, 2002, ANN RHEUM DIS, V61, P429 BOONEN A, 2002, ANN RHEUM DIS, V61, P658 BOONEN A, 2003, ANN RHEUM DIS, V62, P732 BOONEN A, 2003, ANN RHEUM DIS, V62, P741 BOONEN A, 2005, EXPERT REV PHARMACOE, V5, P163 BOONEN A, 2006, ANN RHEUM DIS, V65, P201, DOI 10.1136/ard.2004.032565 BOYER GS, 1994, J RHEUMATOL, V21, P2292 BRAUN J, 1998, ARTHRITIS RHEUM, V41, P58 BROPHY S, 2001, J RHEUMATOL, V28, P2667 CARBONE LD, 1992, ARTHRITIS RHEUM, V35, P1476 CARTER ET, 1979, ARTHRITIS RHEUM, V22, P365 CHORUS AMJ, 2002, ANN RHEUM DIS, V61, P693 CHORUS AMJ, 2003, ANN RHEUM DIS, V62, P1178, DOI 10.1136/ard.2002.004861 COOPER C, 1994, J RHEUMATOL, V21, P1877 DAGFINRUD H, 2005, ARTHRIT RHEUM-ARTHR, V53, P5, DOI 10.1002/art.20910 DAI SM, 2003, J RHEUMATOL, V30, P2245 DARBY SC, 1987, BRIT J CANCER, V55, P179 DAVIS JC, 2005, ARTHRIT RHEUM-ARTHR, V53, P494, DOI 10.1002/art.21330 DOWARD LC, 2003, ANN RHEUM DIS, V62, P20 EDMUNDS L, 1991, J RHEUMATOL, V18, P696 ELMAGHRAOUI A, 1999, J RHEUMATOL, V26, P2205 ELMAGHRAOUI A, 2004, JOINT BONE SPINE, V71, P291, DOI 10.1016/j.jbspin.2003.06.002 FELDTKELLER E, 2006, RHEUMATOL INT, V26, P234, DOI 10.1007/s00296-004-0556-8 GEUSENS P, 2001, J RHEUMATOL, V28, P1856 GRAN JT, 1984, CLIN RHEUMATOL, V3, P467 GRAN JT, 1984, J RHEUMATOL, V11, P788 GRAN JT, 1985, ANN RHEUM DIS, V44, P359 GRAN JT, 1997, BRIT J RHEUMATOL, V36, P766 GUILLEMIN F, 1990, ARTHRITIS RHEUM, V33, P1001 HOLLAN I, 2005, ARTHRITIS RHEUM S, V52, S213 HUKUDA S, 2001, J RHEUMATOL, V28, P554 KAIPIANENSEPPANEN O, 1997, J RHEUMATOL, V24, P496 KHAN MA, 1981, J RHEUMATOL, V8, P86 KHAN MA, 2002, ANN INTERN MED, V136, P896 KHAN MA, 2002, ATLAS RHEUMATOLOGY, P141 KHAN MA, 2005, ATLAS RHEUMATOLOGY, P151 KOBELT G, 2004, RHEUMATOLOGY, V43, P1158, DOI 10.1093/rheumatology/keh271 KOTANIEMI K, 2001, J RHEUMATOL, V28, P309 LEHTINEN K, 1993, ANN RHEUM DIS, V52, P174 MAU W, 2005, J RHEUMATOL, V32, P721 MYLLYKANGASLUOSUJARVI R, 1998, BRIT J RHEUMATOL, V37, P688 OZGUL A, 2006, CLIN RHEUMATOL, V25, P168, DOI 10.1007/s10067-005-1150-5 PETERS MJ, 2004, SEMIN ARTHRITIS RHEU, V34, P585, DOI 10.1016/j.semarthrit.2004.07.010 RADFORD EP, 1977, NEW ENGL J MED, V297, P572 ROBERTSON LP, 2004, RHEUMATOLOGY, V43, P1565, DOI 10.1093/rheumatology/keh386 ROUSSOU E, 1997, J RHEUMATOL, V24, P908 SIEPER J, 2002, ANN RHEUM DIS S3, V61, P8 SUN JP, 1992, INT J CARDIOL, V37, P65 SYMMONS DPM, 2004, ARTHRITIS RHEUM S, V50, S477 TRONTZAS P, 2005, CLIN RHEUMATOL, V24, P583, DOI 10.1007/s10067-005-1106-9 VANDERLINDEN S, 2005, KELLEYS TXB RHEUMATO, P1125 VANDERLINDEN SM, 1984, ARTHRITIS RHEUM, V27, P241 VANTUBERGEN A, 2002, ARTHRIT RHEUM-ARTHR, V47, P459, DOI 10.1002/art.10658 VANTUBERGEN A, 2002, ARTHRIT RHEUM-ARTHR, V47, P8 VOSSE D, 2004, J RHEUMATOL, V31, P1981 VOSSE D, 2006, ANN RHEUM DIS, V65, P770, DOI 10.1136/ard.2005.044081 WARD MM, 1999, ARTHRIT CARE RES, V12, P247 WARD MM, 2001, J RHEUMATOL, V28, P315 WARD MM, 2002, ARTHRITIS RHEUM, V46, P223 WARD MM, 2002, J RHEUMATOL, V29, P1420 WEISS HA, 1994, INT J CANCER, V59, P327 ZINK A, 2000, J RHEUMATOL, V27, P613
NR	72
TC	2
PU	J RHEUMATOL PUBL CO
PI	TORONTO
PA	920 YONGE ST, SUITE 115, TORONTO, ONTARIO M4W 3C7, CANADA
SN	0315-162X
J9	J RHEUMATOL
JI	J. Rheumatol.
PD	SEP
PY	2006
VL	33
SU	Suppl. 78
BP	4
EP	11
PG	8
SC	Rheumatology
GA	083PD
UT	ISI:000240469800002
ER

---

PT	J
AU	Elyan, M Khan, MA
AF	Elyan, Mazen Khan, Muhammad Asim
TI	Diagnosing ankylosing spondylitis
SO	JOURNAL OF RHEUMATOLOGY
LA	English
DT	Review
DE	ankylosing spondylitis; diagnosis; imaging; spondyloarthritis; spondyloarthropathies; radiography
ID	HLA-B27 POSITIVE INDIVIDUALS; CAUDA-EQUINA SYNDROME; C-REACTIVE PROTEIN; FOLLOW-UP; SERONEGATIVE SPONDYLOARTHROPATHIES; RHEUMATOID-ARTHRITIS; PSORIATIC-ARTHRITIS; GENERAL-POPULATION; DISEASE-ACTIVITY; SPINAL MOBILITY
AB	This article focuses on the early diagnosis and effective management of ankylosing spondylitis (AS), a disease that is not uncommon and that can cause early retirement and severe functional disability. AS, like most other rheumatologic diseases, has no diagnostic gold standard. Correct diagnosis depends largely on a constellation of clinical symptoms and signs in addition to radiological findings. Early diagnosis has become all the more important because effective therapies are available: tumor necrosis factor antagonists that suppress disease activity and improve functional ability in patients with AS refractory to conventional drug therapy. The biologic agents are probably even more effective if given early. Inflammation of the sacroiliac joints and the spine is a common, early feature and possibly the most frequent first manifestation of disease. Therefore, its early detection is important, and magnetic resonance imaging has proven useful in this regard. To optimize diagnostic accuracy of early disease, it is crucial to use a comprehensive approach and have a deep understanding of the disease and its clinical picture. The clinician should gather a complete history, paying close attention to all the elements of this multisystem disease, as well as judiciously ordering laboratory testing and imaging. New strategies are being developed to assist primary care physicians in their screening for these patients, which in turn should result in early referral to rheumatologists and early diagnosis.
C1	Case Western Reserve Univ, Div Rheumatol, Metrohlth Med Ctr, Cleveland, OH 44109 USA.
RP	Khan, MA, Case Western Reserve Univ, Div Rheumatol, Metrohlth Med Ctr, 2500 Metrohlth Dr, Cleveland, OH 44109 USA.
EM	mkhan@metrohealth.org
CR	AHLSTROM H, 1990, ARTHRITIS RHEUM, V33, P1763 AKKOC N, 2005, ARTHRITIS RHEUM, V52, P4048, DOI 10.1002/art.21492 ALAMANOS Y, 2004, RHEUMATOLOGY, V43, P615, DOI 10.1093/rheumatology/keh133 AMOR B, 1990, REV RHUM MAL OSTEO, V57, P85 AMOR B, 2000, JOINT BONE SPINE, V67, P502 BANARES A, 1998, RHEUM DIS CLIN N AM, V24, P771 BARALIAKOS X, 2005, ANN RHEUM DIS, V64, P1141, DOI 10.1136/ard.2004.031609 BAROZZI L, 1998, EUR J RADIOL S1, V27, S12 BENJAMIN M, 2001, J ANAT 5, V199, P503 BENNETT DL, 2004, RADIOL CLIN N AM, V42, P121, DOI 10.1016/S0033-8389(03)00156-8 BERGSTROM TF, 1997, HEREDITAS, V127, P1 BILGEN IG, 1999, NEURORADIOLOGY, V41, P508 BOYER GS, 1994, J RHEUMATOL, V21, P2292 BOYER GS, 1997, ARCH INTERN MED, V157, P2111 BRANDT J, 1999, RHEUMATOLOGY, V38, P831 BRAUN J, 1994, ARTHRITIS RHEUM, V37, P1039 BRAUN J, 1998, ARTHRITIS RHEUM, V41, P58 BRAUN J, 1998, RHEUM DIS CLIN N AM, V24, P697 BRAUN J, 2002, ANN RHEUM DIS S3, V61, P51 BRAUN J, 2002, BEST PRACT RES CL RH, V16, P573, DOI 10.1053/berh.2002.0250 BROPHY S, 2002, J RHEUMATOL, V29, P1236 BROWN MA, 1996, ANN RHEUM DIS, V55, P268 CALIN A, 1977, JAMA-J AM MED ASSOC, V237, P2613 CALIN A, 1988, J RHEUMATOL, V15, P1234 CARETTE S, 1983, ARTHRITIS RHEUM, V26, P186 CATS A, 1987, CLIN EXP RHEUMATOL, V5, P167 DAGFINRUD H, 2005, ARTHRIT RHEUM-ARTHR, V53, P5, DOI 10.1002/art.20910 DAI SM, 2003, J RHEUMATOL, V30, P2245 DAWES PT, 1988, POSTGRAD MED J, V64, P27 DEKEYSER F, 2002, CURR RHEUMATOL REP, V4, P525 DIVECHA H, 2005, CLIN SCI, V109, P171 DOMJAN L, 1990, J RHEUMATOL, V17, P663 DOODADS M, 1995, BR J RHEUMATOL, V34, P301 DOUGADOS M, 1991, ARTHRITIS RHEUM, V34, P1218 DOUGADOS M, 1999, J RHEUMATOL, V26, P971 FELDTKELLER E, 2000, CURR OPIN RHEUMATOL, V12, P239 FELDTKELLER E, 2003, RHEUMATOL INT, V23, P61, DOI 10.1007/s00296-002-0237-4 FERNANDEZMELON J, 2004, J RHEUMATOL, V31, P524 FRANCOIS RJ, 2001, CURR OPIN RHEUMATOL, V13, P255 GINSBURG WW, 1997, J RHEUMATOL, V24, P1417 GOFTON JP, 1966, ANN RHEUM DIS, V25, P528 GRAN JT, 1985, ANN RHEUM DIS, V44, P359 GRAN JT, 1995, J MED GENET, V32, P497 GRATACOS J, 1999, ARTHRITIS RHEUM, V42, P2319 HAYWOOD KL, 2004, RHEUMATOLOGY, V43, P750, DOI 10.1093/rheumatology/keh169 HELEWA A, 2001, CLIN CARE RHEUMATIC, P105 HERMANN KGA, 2005, J RHEUMATOL, V32, P2056 HEUFTDORENBOSCH L, 2004, J RHEUMATOL, V31, P1779 HITCHON PW, 2002, J NEUROSURG S, V97, P218 HUKUDA S, 2001, J RHEUMATOL, V28, P554 KAIPIANENSEPPANEN O, 1997, J RHEUMATOL, V24, P496 KETTERING JM, 1996, SEMIN ROENTGENOL, V31, P220 KHAN MA, 1977, ARTHRITIS RHEUM, V20, P909 KHAN MA, 1977, J RHEUMATOL S3, V4, P39 KHAN MA, 1980, ARCH INTERN MED, V140, P177 KHAN MA, 1982, ANN INTERN MED, V96, P70 KHAN MA, 1985, ARTHRITIS RHEUM, V28, P40 KHAN MA, 1990, SEMIN ARTHRITIS RHEU, V20, P107 KHAN MA, 1995, CURR OPIN RHEUMATOL, V7, P263 KHAN MA, 1997, HLA B27 DEV SPONDYLO, P95 KHAN MA, 2002, ANN INTERN MED, V136, P896 KHAN MA, 2002, ANN RHEUM DIS S3, V61, P3 KHAN MA, 2002, ATLAS RHEUMATOLOGY, P141 KHAN MA, 2002, CLIN EXP RHEUMAT S28, V20, S6 KHAN MA, 2003, RHEUMATOLOGY, P1161 KIDD BL, 1988, BR J RHEUMATOL, V27, P230 LANGE U, 2001, OSTEOPOROSIS INT, V12, P1031 LANGLOIS S, 2005, JOINT BONE SPINE, V72, P248, DOI 10.1016/j.jbspin.2004.05.015 MAU W, 1990, Z RHEUMATOL, V49, P82 MOLL JMH, 1972, ANN RHEUM DIS, V31, P1 MOLL JMH, 1973, RHEUMATOL REHABIL, V12, P115 MONNET D, 2004, OPHTHALMOLOGY, V111, P802, DOI 10.1016/j.ophtha.2003.07.011 MOSES S, ANKYLOSING SPONDYLIT OLIVIERI I, 1998, EUR J RADIOL S1, V27, S3 OOSTVEEN J, 1999, J RHEUMATOL, V26, P1953 ORY PA, 2005, ANN RHEUM DIS S2, V64, P55, DOI 10.1136/ard.2004.033928 ROSENOW EC, 1977, MAYO CLIN PROC, V52, P641 RUDWALEIT M, COMMUNICATION RUDWALEIT M, 2004, ANN RHEUM DIS, V63, P535, DOI 10.1136/ard.2003.011247 RUDWALEIT M, 2005, ARTHRITIS RHEUM, V52, P1000, DOI 10.1002/art.20990 SAIDNAHAL R, 2000, ARTHRITIS RHEUM, V43, P1356 SHIM SC, 1998, J RHEUMATOL, V25, P2464 SIEPER J, 2002, ANN RHEUM DIS S3, V61, P8 SMALE S, 2001, ARTHRITIS RHEUM, V44, P2728 SPOORENBERG A, 1999, J RHEUMATOL, V26, P980 STONE M, 2005, ARTHRIT RHEUM-ARTHR, V53, P445, DOI 10.1002/art.21174 THOMPSON GH, 1982, SPINE, V7, P78 TICO N, 1998, SPINAL CORD, V36, P349 TRONTZAS P, 2005, CLIN RHEUMATOL, V24, P583, DOI 10.1007/s10067-005-1106-9 TURETSCHEK K, 2000, CLIN RADIOL, V55, P632 VANDERHEIJDE D, 1999, J RHEUMATOL, V26, P951 VANDERHEIJDE D, 2004, CURRENT RHEUM REP, V6, P98 VANDERLINDEN S, 1984, ARTHRITIS RHEUM, V27, P361 VANDERLINDEN S, 2005, KELLEYS TXB RHEUMATO, P1125 VANDERLINDEN SM, 1984, ARTHRITIS RHEUM, V27, P241 VANDERLINDEN SM, 1984, J RHEUMATOL, V11, P727 VANDERLINDEN SM, 1988, J RHEUMATOL, V15, P836 VANTUBERGEN A, 2003, ANN RHEUM DIS, V62, P519 VOSSE D, 2004, J RHEUMATOL, V31, P1981 ZEIDLER H, 1985, Z RHEUMATOL, V44, P249 ZINK A, 2000, J RHEUMATOL, V27, P613
NR	101
TC	1
PU	J RHEUMATOL PUBL CO
PI	TORONTO
PA	920 YONGE ST, SUITE 115, TORONTO, ONTARIO M4W 3C7, CANADA
SN	0315-162X
J9	J RHEUMATOL
JI	J. Rheumatol.
PD	SEP
PY	2006
VL	33
SU	Suppl. 78
BP	12
EP	23
PG	12
SC	Rheumatology
GA	083PD
UT	ISI:000240469800003
ER

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PT	J
AU	Erkus, E Duman, O
AF	Erkus, Esra Duman, Oktay
TI	A Korovkin type approximation theorem in statistical sense
SO	STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA
LA	English
DT	Article
DE	A-statistical convergence; positive linear operator; the Korovkin theorem
ID	CONVERGENCE
AB	In this study, using the concept of A-statistical convergence we investigate a Korovkin type approximation result for a sequence of positive linear operators defined on the space of all continuous real valued functions on any compact subset of the real m-dimensional space.
C1	Canakkale Onsekiz Mart Univ, Fac Sci & Arts, Dept Math, TR-17020 Terzioglu Kampusu, Canakkale, Turkey. TOBB Univ Econ & Technol, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey.
RP	Erkus, E, Canakkale Onsekiz Mart Univ, Fac Sci & Arts, Dept Math, TR-17020 Terzioglu Kampusu, Canakkale, Turkey.
EM	erkus@comu.edu.kr oduman@etu.edu.tr
CR	BOJANIC R, 1983, CANADIAN MATH SOC C, V3, P5 BOJANIC R, 1992, J NAT SCI MATH, V32, P5 CHENEY EW, 1964, CAN J MATH, V16, P241 CONNOR JS, 1988, ANALYSIS, V8, P47 DUMAN O, 2003, MATH INEQUAL APPL, V6, P689 FAST H, 1951, C MATH, V2, P241 FREEDMAN AR, 1981, PAC J MATH, V95, P293 FRIDY JA, 1985, ANALYSIS, V5, P301 GADJIEV AD, 2002, ROCKY MT J MATH, V32, P129 HARDY GH, 1949, DIVERGENT SERIES KOLK E, 1991, TARTU UL TOIMETISED, V928, P41, UNSP MR 93C:40003 KOLK E, 1993, ANALYSIS, V13, P77 KOROVKIN PP, 1960, LINEAR OPERATORS THE MILLER HI, 1995, T AM MATH SOC, V347, P1811 ZYGMUND A, 1959, TRIGONOMETRIC SERIES, V2
NR	15
TC	1
PU	AKADEMIAI KIADO
PI	BUDAPEST
PA	PO BOX 245, H-1519 BUDAPEST, HUNGARY
SN	0081-6906
J9	STUD SCI MATH HUNG
JI	Stud. Sci. Math. Hung.
PY	2006
VL	43
IS	3
BP	285
EP	294
PG	10
SC	Mathematics
GA	070WC
UT	ISI:000239555600002
ER

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PT	J
AU	Zeng, XM Chen, XJ
AF	Zeng, Xiao-Ming Chen, X. J.
TI	Approximation for bounded functions and absolutely continuous functions by Beta operators
SO	COMPUTERS & MATHEMATICS WITH APPLICATIONS
LA	English
DT	Article
DE	approximation property; absolutely continuous functions; Beta operators; probabilistic methods
AB	In this paper, the pointwise approximation properties of Beta operators (B) over bar (n) are studied to the bounded functions and the absolutely continuous functions, respectively. First, we use the asymptotic form of the central limit theorem in probability theory to derive an asymptotic estimate on the rate of convergence of Beta operators (B) over tilde (n) for the bounded functions. Next, we give the optimal estimate on the first-order absolute moment of the Beta operators B-n(vertical bar t - x vertical bar, x) by direct computations. Then, we use this estimate and Bojanic-Cheng-Khan's method combining with some analysis techniques to derive an asymptotically optimal estimate on the rate of convergence of Beta operators (B) over bar (n) for the absolutely continuous functions. (c) 2006 Elsevier Ltd. All rights reserved.
C1	Xiamen Univ, Dept Math, Xiamen 361005, Peoples R China.
RP	Zeng, XM, Xiamen Univ, Dept Math, Xiamen 361005, Peoples R China.
EM	xmzeng@jingxian.xmu.edu.cn
CR	BOJANIC R, 1989, J MATH ANAL APPL, V141, P136 BOJANIC R, 1991, ATTI SEMIN MAT FIS, V29, P153 DIVIS Z, 1991, PUBL I MATH, V49, P104 FELLER W, 1971, INTRO PROBABILITY TH KHAN MK, 1991, PROGR APPROXIMATION, P483 NAMIAS V, 1986, AM MATH MON, V93, P25 OMEY E, 1996, THEOR PROBAB APPL, V41, P219 PYCHTABERSKA P, 2003, J APPROX THEORY, V123, P256, DOI 10.1016/S0021-9045(03)00106-0 SHIRYAYEV AN, 1984, PROBABILITY ZENG XM, 2001, J APPROX THEORY, V109, P242 ZENG XM, 2005, J MATH ANAL APPL, P1
NR	11
TC	0
PU	PERGAMON-ELSEVIER SCIENCE LTD
PI	OXFORD
PA	THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
SN	0898-1221
J9	COMPUT MATH APPL
JI	Comput. Math. Appl.
PD	MAY
PY	2006
VL	51
IS	9-10
BP	1585
EP	1592
PG	8
SC	Computer Science, Interdisciplinary Applications; Mathematics, Applied
GA	062TH
UT	ISI:000238966900020
ER

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PT	J
AU	Downing, J Coates, E Street, J Hammond, L Rees, TJ Pepperall, J Darke, C
TI	A high-resolution polymerase chain reaction-sequence-specific primer HLA-B*27 typing set and its application in routine HLA-B27 testing
SO	GENETIC TESTING
LA	English
DT	Article
ID	ANKYLOSING-SPONDYLITIS; HLA SYSTEM; IDENTIFICATION; ANTIBODY; SUBTYPES; DISEASE; ALLELE; UPDATE
AB	We designed a set of 35 polymerase chain reaction sequence- specific primers ( PCR- SSP) in 29 SSP mixtures to assign 29 HLA- B* 27 4- digit level alleles ( B* 2701- B* 2721 and B* 2723- B* 2730). This was used in conjunction with our 41 PCR- SSP primer mixture low- resolution HLA- B typing set to fully differentiate B* 27 from all other HLA- B alleles. Successful typing set validation used 521 B* 27 samples covering 13 ( B* 2701- B* 2710 and B* 2712, B* 2717, B* 2723) alleles. The distribution of B* 27 alleles was determined in a random population of 4020 local blood donors and the use of PCR- SSP B* 27 typing in our routine flow cytometry- based HLA- B27/ B2708 typing strategy is described.
C1	Welsh Blood Serv, Welsh Transplantat & Immogenet Lab, Pontyclun CF72 9WB, Wales.
RP	Darke, C, Welsh Blood Serv, Welsh Transplantat & Immogenet Lab, Ely Valley Rd, Pontyclun CF72 9WB, Wales.
EM	chris.darke@wbs.wales.nhs.uk
CR	*UK NEQAS H I, 2001, UK NAT EXT QUAL ASS BALL EJ, 2001, JOINT BONE SPINE, V68, P378 BREWERTON DA, 1973, LANCET, V1, P904 BRODSKY FM, 1979, IMMUNOL REV, V47, P3 BROWN MA, 1996, ANN RHEUM DIS, V55, P268 COATES E, 1998, EUR J IMMUNOGENET, V25, P29 DAMATO M, 1995, DIS MARKERS, V12, P215 DARKE C, 2000, BONE MARROW TRANSPL, V25, P771 DARKE C, 2002, TISSUE ANTIGENS, V60, P400 DOWNING J, 2004, GENET TEST, V8, P301 FUSSELL H, 1994, EUR J IMMUNOGENET, V21, P23 GOOD AE, 1979, CUTIS, V24, P514 GUTTRIDGE MG, 1999, TISSUE ANTIGENS 1, V53, P383 HELMBERG W, 1998, TISSUE ANTIGENS, V51, P587 HILL G, 1991, POETRY WALES, V27, P27 KHAN MA, 1982, ANN INTERN MED, V96, P70 KHAN MA, 1995, CURR OPIN RHEUMATOL, V7, P263 KHAN MA, 2002, ANN INTERN MED, V136, P896 LAU M, 1994, CLIN TRANSPLANT, P467 LOPEZLARREA C, 1995, TISSUE ANTIGENS, V45, P169 MARSH SGE, 2006, TISSUE ANTIGENS, V67, P258, DOI 10.1111/j.1399-0039.2005.00545.x NASUTION AR, 1997, J RHEUMATOL, V24, P1111 OHNO S, 1977, BR J OPHTHALMOL, V61, P62 PARHAM P, 1993, TRANSPLANT P, V25, P159 PEI R, 1993, TISSUE ANTIGENS, V41, P200 PETERSDORF EW, 1999, CURR OPIN IMMUNOL, V11, P521 TOMLINSON IPM, 1995, TRENDS GENET, V11, P493 TRAPANI JA, 1983, HUM IMMUNOL, V7, P205
NR	28
TC	0
PU	MARY ANN LIEBERT INC
PI	NEW ROCHELLE
PA	140 HUGUENOT STREET, 3RD FL, NEW ROCHELLE, NY 10801 USA
SN	1090-6576
J9	GENET TEST
JI	Genet. Test.
PD	JUN
PY	2006
VL	10
IS	2
BP	98
EP	103
PG	6
SC	Genetics & Heredity; Medicine, Research & Experimental
GA	058UA
UT	ISI:000238688900004
ER

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PT	J
AU	Duman, O Orhan, C
TI	An abstract version of the Korovkin approximation theorem
SO	PUBLICATIONES MATHEMATICAE-DEBRECEN
LA	English
DT	Article
DE	statistical convergence; A-density; A-statistical convergence; positive linear operators; the Korovkin theorem
ID	POSITIVE LINEAR-OPERATORS; STATISTICAL CONVERGENCE; SUMMABILITY
AB	In this paper we consider some analogs of the Korovkin approximation theorem via A-statistical convergence. In particular we study A-statistical convergence of approximating operators defined on C(X, R), the space of all real valued continuous functions on the compact Hausdorff space X. We also discuss some of its applications.
C1	Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkey.
RP	Duman, O, Tobb Univ Econ & Technol, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey.
EM	oduman@etu.edu.tr orhan@science.ankara.edu.tr
CR	ALTOMARE F, 1994, DEGRUYTER STUD MATH, V17 BOJANIC R, 1983, CANADIAN MATH SOC C, V3, P5 BOJANIC R, 1992, J NAT SCI MATH, V32, P5 BOOS J, 2000, CLASSICAL MODERN MET CONNOR J, 1989, CAN MATH BULL, V32, P194 CONNOR J, 1999, APPL NUM HARM ANAL, P403 DUMAN O, 2003, DEMONSTRATIO MATH, V36, P873 DUMAN O, 2003, MATH INEQUAL APPL, V6, P689 DUMAN O, 2003, PUBL MATH-DEBRECEN, V63, P133 DUMAN O, 2004, STUD MATH, V161, P187 FAST H, 1951, C MATH, V2, P241 FREEDMAN AR, 1981, PAC J MATH, V95, P293 FRIDY JA, 1985, ANALYSIS, V5, P301 FRIDY JA, 1997, P AM MATH SOC, V125, P3625 GADJIEV AD, 2002, ROCKY MT J MATH, V32, P129 HARDY GH, 1949, DIVERGENT SERIES KING JP, 2003, ACTA MATH HUNG, V99, P203 KOLK E, 1991, TARTU UL TOIMETISED, V928, P41, UNSP MR 93C:40003 KOLK E, 1993, ANALYSIS, V13, P77 KOROVKIN PP, 1960, LINEAR OPERATORS APP MHASKAR HN, 2000, FUNDAMENTALS APPROXI MILLER HI, 1995, T AM MATH SOC, V347, P1811 STEINHAUS H, 1951, C MATH, V2, P73
NR	23
TC	0
PU	KOSSUTH LAJOS TUDOMANYEGYETEM
PI	DEBRECEN
PA	MATEMATIKAI INTEZET NAGYERDEIKORUT, 10 DEBRECEN, HUNGARY
SN	0033-3883
J9	PUBL MATH-DEBRECEN
JI	Publ. Math.-Debr.
PD	MAY
PY	2006
VL	69
IS	1-2
BP	33
EP	46
PG	14
SC	Mathematics
GA	056VO
UT	ISI:000238553400003
ER

---

PT	J
AU	Dogru, O Duman, O
TI	Statistical approximation of Meyer-Konig and Zeller operators based on q-integers
SO	PUBLICATIONES MATHEMATICAE-DEBRECEN
LA	English
DT	Article
DE	A-statistical convergence; positive linear operators; the Bollman-Korovkin type theorem; modulus of continuity; q-integers; Lipschitz type maximal function
ID	BERNSTEIN POWER-SERIES; CONVERGENCE; SUMMABILITY
AB	In this paper, we introduce a generalization of the Meyer-Konig and Zeller operators based on q-integers and get a Bohman-Korovkin type approximation theorem of these operators via A-statistical convergence. We also compute rate of A-statistical convergence of these q-type operators by means of the modulus of continuity and Lipschitz type maximal function, respectively. The second purpose of this note is to obtain explicit formulas for the monomials (t/1-t)(v), v = 0, 1; 2 of q-type generalization of Meyer-Konig and Zeller operators.
C1	Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkey. Tobb Univ Econ & Technol, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey.
RP	Dogru, O, Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkey.
EM	dogru@science.ankara.edu.tr oduman@etu.edu.tr
CR	AGRATINI O, 2001, MATH INEQUAL APPL, V4, P119 ALKEMADE JAH, 1984, J APPROX THEORY, V40, P261 ANDREWS GE, 1999, SPECIAL FUNCTION BLEIMANN G, 1980, P NETHERL ACAD SCI A, V83, P255 CHENEY EW, 1964, CAN J MATH, V16, P241 DEMIRCI K, 2003, J MATH ANAL APPL, V278, P27, DOI 10.1016/S0022-247X(02)00456-0 DOCRU O, 2002, STUD U BABES BOLYAI, V47, P37 DOGRU O, 2003, STUD SCI MATH HUNG, V40, P359 DUMAN O, 2003, MATH INEQUAL APPL, V6, P689 FAST H, 1951, C MATH, V2, P241 FREEDMAN AR, 1981, PAC J MATH, V95, P293 FRIDY JA, 1985, ANALYSIS, V5, P301 FRIDY JA, 1993, J MATH ANAL APPL, V173, P497 FRIDY JA, 1997, P AM MATH SOC, V125, P3625 GADJIEV AD, 2002, ROCKY MT J MATH, V32, P129 HARDY GH, 1949, DIVERGENT SERIES KHAN MK, 1989, J APPROX THEORY, V57, P90 KOLK E, 1991, ACTA COMMENT U TARTU, V928, P41 KOLK E, 1993, ANALYSIS, V13, P77 LENZE B, 1998, P NETH AC SCI A, V91, P53 MEYERKONIG W, 1960, STUD MATH, V19, P89 MILLER HI, 1995, T AM MATH SOC, V347, P1811 PHILLIPS GM, 1996, NUMERICAL ANAL AR MI, P263 TRIF T, 2000, REV ANAL NUMER THEOR, V29, P221
NR	24
TC	1
PU	KOSSUTH LAJOS TUDOMANYEGYETEM
PI	DEBRECEN
PA	MATEMATIKAI INTEZET NAGYERDEIKORUT, 10 DEBRECEN, HUNGARY
SN	0033-3883
J9	PUBL MATH-DEBRECEN
JI	Publ. Math.-Debr.
PD	JAN
PY	2006
VL	68
IS	1-2
BP	199
EP	214
PG	16
SC	Mathematics
GA	031HE
UT	ISI:000236694500014
ER

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PT	J
AU	Beg, I
TI	Convolution of fuzzy multifunctions and applications
SO	JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
LA	English
DT	Article
DE	fuzzy multifunction; convolution; selector; extension; group; vector space
ID	MAPPINGS
AB	The purpose of this article is to define intersection convolution of fuzzy multifunctions defined between groups and study their properties. As application we obtained extension of linear selector fuzzy multifunction.
C1	Lahore Univ Management Sci, Ctr Adv Studies Math, Lahore 54792, Pakistan. Lahore Univ Management Sci, Dept Math, Lahore 54792, Pakistan.
RP	Beg, I, Lahore Univ Management Sci, Ctr Adv Studies Math, Lahore 54792, Pakistan.
EM	ibeg@lums.edu.pk
CR	ALBRYCHT J, 1984, FUZZY SET SYST, V12, P61 ALIPRANTIS CD, 1994, INFINITE DIMENSIONAL ARENS R, 1961, PAC J MATH, V11, P9 BALAKRISHNAN AV, 1981, APPL FUNCTIONAL ANAL BEG I, 1998, J FUZZY MATH, V6, P127 BEG I, 2000, FUZZY SET SYST, V115, P451 BERGE C, 1963, TOPOLOGICAL SPACES BUTNARIU D, 1982, FUZZY SETS SYSTEMS, V7, P191 HEILPERN S, 1981, J MATH ANAL APPL, V83, P566 KHAN MK, 1996, PROBABILITY APPL KLEIN E, 1984, THEORY CORRES INCLUD NIKODEM K, 1988, ZB RAD PRIROD MAT M, V18, P143 SMAJDOR W, 1987, SUBADDITIVE SUBQUADR, P889 STROMBERG T, 1996, DISSERTATIONES MATH, V352 TSIPORKOVAHRISTOSKOVA E, 1997, FUZZY SET SYST, V85, P93 ZIMMERMANN HJ, 1991, FUZZY SET THEORY ITS
NR	16
TC	0
PU	EUDOXUS PRESS, LLC
PI	CORDOVA
PA	1424 BEAVER TRAIL DRIVE, CORDOVA, TN 38016 USA
SN	1521-1398
J9	J COMPUT ANAL APPL
JI	J. Comput. Anal. Appl.
PD	APR
PY	2004
VL	6
IS	2
BP	125
EP	137
PG	13
SC	Computer Science, Theory & Methods; Mathematics, Applied
GA	018YH
UT	ISI:000235800200002
ER

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PT	J
AU	Edely, OHH Mursaleen, M
TI	Tauberian theorems for statistically convergent double sequences
SO	INFORMATION SCIENCES
LA	English
DT	Article
DE	double sequence; convergence in Pringsheim's sense; summability C-11, C-10 and C-01; statistical convergence; Tauberian condition
AB	In [F. Moricz, Tauberian theorems for Cesaro summable double sequences, Studia Math. 110 (1994) 83-96], Moricz has proved some Tauberian theorems for Cesaro summable double sequences and deduced the Tauberian theorems of Landau [E. Landau, Uber die Bedeutung einiger neuerer Grenzwertsatze der Herren Hardy and Axer, Prac. Mat.-Fiz. 21 (1910) 97-177] and Hardy [G.H. Hardy, Divergent Series, Univ. Press, Oxford 1956] type. In [J.A. Fridy, M.K. Khan, Statistical extension of some classical Tauberian theorems, Proc. Amer. Math. Soc. 128 (2000) 2347-2355], Fridy and Khan have given statistical extensions of some classical Tauberian theorems. The concept of statistical convergence for double sequences has recently been introduced by Mursaleen and Edely [M. Mursaleen, Osama H. H. Edely, Statistical convergence of double sequences, J. Math. Anal. Appl. 288 (2003) 223-231] and by Moricz [F. Moricz, Statistical convergence of multiple sequences, Arch. Math. 81 (2003) 82-89] independently. In this paper we give some Tauberian theorems for statistically convergent double sequences. We have also provided some examples including an example to Problem I of Moricz [F. Moricz, Tauberian theorems for Cesaro summable double sequences, Studia Math. 110 (1994) 83-96]. (c) 2005 Published by Elsevier Inc.
C1	Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India. King Abdul Aziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia.
RP	Mursaleen, M, Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India.
EM	osamaedely@yahoo.com mursaleen@postmark.net
CR	CHRISTOPHER J, 1956, AM MATH MONTHLY, V63, P399 CONNOR JS, 1988, ANALYSIS, V8, P47 FAST H, 1951, C MATH, V2, P241 FRIDY JA, 1985, ANALYSIS, V5, P301 FRIDY JA, 2000, P AM MATH SOC, V128, P2347 HARDY GH, 1956, DIVERGENT SERIES LANDAU E, 1910, PRAC MAT FIZ, V21, P97 MORICZ F, 1994, STUD MATH, V110, P83 MORICZ F, 2003, ARCH MATH, V81, P82, DOI 10.1007/s00013-003-0506-9 MURSALEEN M, 2003, J MATH ANAL APPL, V288, P223 PRINGSHEIM A, 1900, MATH ANN, V53, P289 SALAT T, 1980, MATH SLOVACA, V30, P139 STADTMULLER U, 1999, ANAL MATH, V25, P57
NR	13
TC	0
PU	ELSEVIER SCIENCE INC
PI	NEW YORK
PA	360 PARK AVE SOUTH, NEW YORK, NY 10010-1710 USA
SN	0020-0255
J9	INFORM SCIENCES
JI	Inf. Sci.
PD	APR 6
PY	2006
VL	176
IS	7
BP	875
EP	886
PG	12
SC	Computer Science, Information Systems
GA	011KL
UT	ISI:000235266900007
ER

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PT	J
AU	Yates, JA Stetz, LC
TI	Reiter's syndrome (reactive arthritis) and travelers' diarrhea
SO	JOURNAL OF TRAVEL MEDICINE
LA	English
DT	Article
ID	GASTROENTERITIS; EPIDEMIOLOGY; HLA-B27
AB	Reiter's syndrome [also called reactive arthritis (ReA)] is the triad of arthritis, urethritis, and conjunctivitis. Two cases of Reiter's syndrome triggered by travelers' diarrhea are presented. Health care providers should suspect ReA in travelers with joint symptoms and antecedent diarrheal disease.
C1	CIWEC Clin Travel Med Ctr, Kathmandu, Nepal. Chestnut Hill Hosp Family Practice Residency, Philadelphia, PA USA.
RP	Yates, JA, DTM&H, POB 159271, Honolulu, HI 96830 USA.
CR	ADACHI JA, 2000, J TRAVEL MED, V7, P35 AMOR B, 1998, RHEUM DIS CLIN N AM, V24, P677 BEECHAM HJ, 1997, AM J TROP MED HYG, V57, P699 CONNOR BA, 2001, EMERG INFECT DIS, V7, P453 CRON RQ, 1995, J RHEUMATOL, V22, P1962 DUPONT HL, 2005, ANN INTERN MED, V142, P805 DWORKIN MS, 2001, CLIN INFECT DIS, V33, P1010 HANNU T, 2002, RHEUMATOLOGY, V41, P312 HOGE CW, 1996, JAMA-J AM MED ASSOC, V275, P533 JIANG ZD, 2002, J INFECT DIS, V185, P497 KHAN MA, 1982, ANN INTERN MED, V96, P70 KISCHNER RA, 1995, CLIN INFECT DIS, V21, P536 SHAW RA, 1987, JAMA-J AM MED ASSOC, V258, P2734 SIEPER J, 2002, ARTHRITIS RHEUM, V46, P319 STEFFEN R, 2004, J TRAVEL MED, V11, P231 THOMSON GTD, 1995, AM J MED, V98, P13 YLIKERTTULA T, 2000, ANN RHEUM DIS, V59, P565
NR	17
TC	0
PU	B C DECKER INC
PI	HAMILTON
PA	20 HUGHSON ST SOUTH, PO BOX 620, L C D 1, HAMILTON, ONTARIO L8N 3K7, CANADA
SN	1195-1982
J9	J TRAVEL MED
JI	J. Travel Med.
PD	JAN-FEB
PY	2006
VL	13
IS	1
BP	54
EP	56
PG	3
SC	Medicine, General & Internal
GA	005GC
UT	ISI:000234809600009
ER

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PT	J
AU	Duman, O Orhan, C
TI	Rates of A-statistical convergence of positive linear operators
SO	APPLIED MATHEMATICS LETTERS
LA	English
DT	Article
DE	A-density; A-statistical convergence; sequence of positive linear operators; weight function; weighted space; modulus of continuity; the Korovkin theorem
ID	SUMMABILITY; APPROXIMATION
AB	In this paper we study the rates of A-statistical convergence of sequences of positive linear operators mapping the weighted space C-P1 into the weighted space B-P2. (c) 2005 Elsevier Ltd. All rights reserved.
C1	Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkey.
RP	Orhan, C, Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkey.
EM	oduman@science.ankara.edu.tr orhan@science.ankara.edu.tr
CR	ALTOMARE F, 1994, W DEGRUYTER STUDIES, V17 CONNOR J, 1989, CAN MATH BULL, V32, P194 CONNOR J, 1996, J MATH ANAL APPL, V197, P392 DEVORE RA, 1972, LECT NOTES MATH, V293 DOGRU O, 2002, INT J COMPUT NUMER A, V1, P135 DUMAN O, 2003, MATH INEQUAL APPL, V6, P689 DUMAN O, 2004, STUD MATH, V161, P187 FAST H, 1951, C MATH, V2, P241 FREEDMAN