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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>>

Generalized Logan’s Problem for Entire Functions of Exponential Type and Optimal Argument in Jackson’s Inequality in L2（R3）: 《Acta Mathematica Sinica,English Series》2018年第10期1563-1577,共15页Valerii IVANOV Alexey IVANOV; Supported by the Russian Foundation for Basic Research(Grant No.16-01-00308); We study Jackson＇s inequality between the best approximation of a function f∈ L2（R^3） by entire functions of exponential spherical type and its generalized modulus of continuity. We prove Jackson＇s inequality wit...; 关键词：Best approximation generalized modulus of continuity Jackson＇s inequality optimal argument Logan＇s problem quadrature formula

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 Remark on Adaptive Decomposition for Nonlinear Time-frequency Analysis: 《Communications in Mathematical Research》2016年第4期319-324,共6页LIU XU WANG HAI-NA Ma Fu-ming; The NSF(11426113)of China;the Science and Technology Research Project(2014161,2014163)of Jilin Provincial Department of Education of China;the Project(20160520110JH)of Science and Technology Development Plan for Jilin Provincial; In recent study the bank of real square integrable functions that have nonlinear phases and admit a well-behaved Hilbert transform has been constructed for adaptive representation of nonlinear signals. We first s...; 关键词：Hilbert transform empirical mode decomposition adaptive decompo-sition algorithm best approximation

The best approximation theorems and variational inequalities for discontinuous mappings in Banach spaces: 《Science China Mathematics》2015年第12期2581-2592,共12页LIU LiShan KONG DeZhou WU YongHong; supported by National Natural Science Foundation of China(Grant No.11371221);the Specialized Research Foundation for the Doctoral Program of Higher Education of China(Grant No.20123705110001);the Program for Scientific Research Innovation Team in Colleges and Universities of Shandong Province; We discuss Ky Fan's theorem and the variational inequality problem for discontinuous mappings f in a Banach space X. The main tools of analysis are the variational characterizations of the metric projection operator a...; 关键词：best approximation theorem variational inequality discontinuous map Ky Fan’s theorem fixed point Banach spaces

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.

THE SHARP JACKSON INEQUALITY FOR L^2-APPROXIMATION ON THE PERIODIC CYLINDER: 《Acta Mathematica Scientia》2015年第2期375-382,共8页谷懿刘永平; supported by National Natural Science Foundation of China(11071019);Beijing Natural Science Foundation(1132001); We consider Jackson inequality in L^2 （B^d×T, Wκ,μ^B （x））, where the weight function Wκ,μ^B （X） is defined on the ball B^d and related to reflection group, and obtain the sharp Jackson inequalityEn-1,m-1（f...; 关键词：Jackson inequality best approximation modulus of continuity weight function

加权L2(B^d×R)空间中的精确Jackson不等式: 《高等学校计算数学学报》2014年第4期360-369,共10页谷懿刘永平; 国家自然科学基金资助项目(11071019);北京市自然科学基金资助项目(1132001); 1引言和本文主要结果1.1发展历史精确Jackson不等式研究有50余年的历史.为了表述已知结果,我们引进一些必要的记号.令N表示正整数全体,R表示实数全体,R^d表示d维实欧氏空间.用C(T)(T=[-π,π])表示2π周期的实值连续函数空间,其中范数‖...; 关键词：Jackson inequality best approximation modulus of continuity Dunkl transform.

Dunkl's Theory and Best Approximation by Entire Functions of Exponential Type in L_2-metric with Power Weight: 《Acta Mathematica Sinica,English Series》2014年第10期1748-1762,共15页Yong Ping LIU Chun Yuan SONG; Supported by National Natural Science Foundation of China(Grant No.11071019);the research Fund for the Doctoral Program of Higher Education and Beijing Natural Science Foundation(Grant No.1102011); In this paper, we study the sharp Jackson inequality for the best approximation of f ∈L2,k（Rd） by a subspace Ek2（σ）（SEk2（σ））, which is a subspace of entire functions of exponential type （spherical exponen...; 关键词：Reflection group Dunkl transform Bessel function Jackson inequality continuous modulus

Best constants of harmonic approximation of some convolution classes associated with Laplace operator in d-variables: 《Science China Mathematics》2013年第2期301-313,共13页LING Bo LIU YongPing; supported partly by National Natural Science Foundation of China(GrantNo.11071019);Research Fund for the Doctoral Program of Higher Education and Beijing Natural Science Foundation(Grant No.1102011); In this paper,we consider the best EFET(entire functions of the exponential type) approximations of some convolution classes associated with Laplace operator on R d and obtain exact constants in the spaces L1(R2) and ...; 关键词：best approximation exact constant Laplace operator trigonometric polynomials entire functionsof exponential type

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