Nonlinear weighted best simultaneous approximation in Banach spaces

被引：6

作者：

Luo, Xianfa ^{[2
]}

Li, Chong ^{[1
]}

Lopez, Genaro ^{[3
]}

机构：

[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China

[2] Jishou Univ, Sch Math & Comp Sci, Jishou 416000, Peoples R China

[3] Univ Seville, Dept Math Anal, Seville, Spain

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 337卷 / 02期

基金：

中国国家自然科学基金;

关键词：

simultaneous approximation; S-sun; RS-set; characterization; uniqueness;

D O I：

10.1016/j.jmaa.2007.04.060

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present paper is concerned with the problem of weighted best simultaneous approximations in Banach spaces. The weighted best simultaneous approximations to sequences from S- and BS-suns in the Banach space are characterized in view of the Kolmogorov conditions. Applications are provided for weighted best simultaneous approximations from RS-sets and strict RS-sets. Our results obtained in the present paper extend and improve all earlier known results in this direction. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：1100 / 1118

页数：19

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