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

共 50 条

[1] ON BEST SIMULTANEOUS APPROXIMATION IN BANACH-SPACES
SAHNEY, BN
SINGH, SP
[J]. JOURNAL OF APPROXIMATION THEORY, 1982, 35 (03) : 222 - 224
[2] NONLINEAR SIMULTANEOUS APPROXIMATION IN COMPLETE LATTICE BANACH SPACES
Fang, Donghui
Luo, Xianfa
Li, Chong
[J]. TAIWANESE JOURNAL OF MATHEMATICS, 2008, 12 (09): : 2373 - 2385
[3] On well posedness of best simultaneous approximation problems in Banach spaces
李冲
[J]. Science China Mathematics, 2001, (12) : 1558 - 1570
[4] On well posedness of best simultaneous approximation problems in Banach spaces
Li, C
[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS, 2001, 44 (12): : 1558 - 1570
[5] Best simultaneous approximation to totally bounded sequences in Banach spaces
Xian Fa Luo
Chong Li
Genaro Lopez
[J]. Acta Mathematica Sinica, English Series, 2008, 24 : 1541 - 1554
[6] On well posedness of best simultaneous approximation problems in Banach spaces
Chong Li
[J]. Science in China Series A: Mathematics, 2001, 44 : 1558 - 1570
[7] Best simultaneous approximation to totally bounded sequences in Banach spaces
Luo, Xian Fa
Li, Chong
Lopez, Genaro
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2008, 24 (09) : 1541 - 1554
[8] Best Simultaneous Approximation to Totally Bounded Sequences in Banach Spaces
Genaro LOPEZ
[J]. Acta Mathematica Sinica,English Series, 2008, 24 (09) : 1541 - 1554
[9] Weak type inequalities for best simultaneous approximation in Banach spaces
Jansche, S
[J]. JOURNAL OF APPROXIMATION THEORY, 1999, 101 (02) : 359 - 403
[10] The best approximation by projections in Banach spaces
Nishishiraho, T
[J]. TAIWANESE JOURNAL OF MATHEMATICS, 2001, 5 (02): : 375 - 386

← 1 2 3 4 5 →