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BEST_APPROXIMATION: 作品数：64被引量：33H指数：3; 导出分析报告; 相关作者：戴华何金苏许贵桥杜英芳南朝勋更多>>; 相关机构：南京航空航天大学东南大学安徽师范大学天津师范大学更多>>; 相关期刊：《Applied Mathematics》《Communications in Mathematical Research》《Acta Mathematica Sinica,English Series》《The Journal of China Universities of Posts and Telecommunications》更多>>; 相关基金：国家自然科学基金北京市自然科学基金江苏省自然科学基金国家教育部博士点基金更多>>

On Quasi-Chebyshevity Subsets of Unital Banach Algebras: 《Analysis in Theory and Applications》2018年第1期92-102,共11页M.Iranmanesh F.Soleimany; In this paper, first, we consider closed convex and bounded subsets of infinite-dimensional unital Banach algebras and show with regard to the general conditions that these sets are not quasi-Chebyshev and pseudo-Cheb...; 关键词：Best approximation Quasi-Chebyshev sets Pseudo-Chebyshev C＊-algebras HilbertC＊-modules.

Maximal Inequalities for the Best Approximation Operator and Simonenko Indices: 《Analysis in Theory and Applications》2017年第3期253-266,共14页Sonia Acinas Sergio Favier; supported by Consejo Nacional de Investigaciones Científicas y Técnicas(CONICET)and Universidad Nacional de San Luis(UNSL)with grants PIP 11220110100033CO and PROICO 317902; In an abstract set up, we get strong type inequalities in L^p＋1 by assuming weak or extra-weak inequalities in Orlicz spaces. For some classes of functions, the number p is related to Simonenko indices. We apply the ...; 关键词：Simonenko indices maximal inequalities best approximation.

A Note on Pad Approximants Pairs as Limits of Algebraic Polynomials Pairs of Weighted Best Approximation in Orlicz Spaces: 《Analysis in Theory and Applications》2015年第3期253-259,共7页F.E.Levis; In this short note, we show the behavior in Orlicz spaces of best approximations by algebraic polynomials pairs on union of neighborhoods, when the measure of them tends to zero.; 关键词：Best approximation pair Pad′e approximant pair Orlicz spaces.

KY FAN TYPE BEST APPROXIMATION THEOREM FOR A CLASS OF FACTORIZABLE MULTIFUNCTIONS: 《Analysis in Theory and Applications》2012年第2期101-110,共10页Hemant Kumar Nashine Zoran D. Mitrovic; An existence result on Ky Fan type best approximation is proved. For this pur- pose, a class of factorizable multifunctions and the other one being a demicontinuous, rela- tive almost quasi-convex, onto function on an...; 关键词：Almost affine almost quasi convex approximately weakly compact best ap-proximation demicontinuous map locally convex space relative almost quasiconvex Kakutani factorizable multifunction upper semicontinuous map

COMMON FIXED POINTS WITH APPLICATIONS TO BEST SIMULTANEOUS APPROXIMATIONS: 《Analysis in Theory and Applications》2012年第1期1-12,共12页Sumit Chandok T. D. Narang; For a subset K of a metric space （X,d） and x ∈ X,Px（x）={y ∈ K ： d（x,y） = d（x,K）≡ inf{d（x,k）： k ∈ K}}is called the set of best K-approximant to x. An element go E K is said to be a best simulta- neous ...; 关键词：Banach operator pair best approximation demicompact fixed point STAR-SHAPED NONEXPANSIVE asymptotically nonexpansive and uniformly asymptot-ically regular maps

ON WEIGHTED L^p INTEGRABILITY AND APPROXIMATION OF TRIGONOMETRIC SERIES被引量：1: 《Analysis in Theory and Applications》2009年第1期40-54,共15页Baorong Wei and Dansheng Yu Department of Mathematics Hangzhou Normal University Hangzhou, 310036P. R. China Department of Mathematics Hangzhou Normal University Hangzhou, 310036 P. R. China and Department of Mathematics Statistics and Computer Sciences St Franics Xaiver University Antigonish, Nova ScotiaCanada B2G 2w5; Supported in part by Hangzhou Normal University; We generalize several classical results on the integrability of trigonometric series and relations among the best approximation and the coefficients of trigonometric series. Theorem 3 and Theorem 4 are the first resul...; 关键词：weighted Lp integrability best approximation modulus of continuity

SOME RESULTS ON BEST APPROXIMATION IN SPACES WITH CONVEX STRUCTURE: 《Analysis in Theory and Applications》2008年第1期67-73,共7页T. D. Narang; This research is partially supported by University Grants Commission, India (F30-238/2004(SR)).; Some generalizations of the result proved by S.P. Singh [J. Approx. Theory 25（1979）, 89-90] are presented in convex metric spaces. The results proved contain several known results on the subject.; 关键词：convex metric space convex set starshaped set non-expansive map affinemap

τ-CHEBYSHEV AND τ-COCHEBYSHEV SUBPSACES OF BANACH SPACES: 《Analysis in Theory and Applications》2006年第2期141-145,共5页H.Mazaheri; The concepts of quasi-Chebyshev and weakly-Chebyshev and σ-Chebyshev were defined [3 - 7], andas a counterpart to best approximation in normed linear spaces, best coapprozimation was introduced by Franchetti and Furi...; 关键词：best approximation best coapproximation τ-Chebyshev subspace τ-cochebyshev subspace compact set weakly compact set

BEST APPROXIMATION BY DOWNWARD SETS WITH APPLICATIONS: 《Analysis in Theory and Applications》2006年第1期20-40,共21页H.Mohebi A.M.Rubinov; We develop a theory of downward sets for a class of normed ordered spaces. We study best approximation in a normed ordered space X by elements of downward sets, and give necessary and sufficient conditions for any ele...; 关键词：best approximation downward set proximinal set Chebyshev set Banach lattice

SOME GENERALIZATIONS OF KY FAN'S BEST APPROXIMATION THEOREM: 《Analysis in Theory and Applications》2004年第2期189-198,共10页A.R.Khan N.Hussain A.B.Thaheem; We pressent new Ky Fan type best approximation theorems for a discontinuous multivalued map on metrizable topological vector spaces and hyperconvex spaces. In addition, fixed point results are derived for the map stu...; 关键词：best approximation fixed point * -nonexpansive multivalued map almost quasi-convex function metrizable topological vector space hyperconvex space

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