Convergence of some greedy algorithms in Banach spaces

被引：21

作者：

Dilworth, SJ ^{[1
]}

Kutzarova, D

Temlyakov, VN

机构：

[1] Univ S Carolina, Dept Math, Columbia, SC 29208 USA

[2] Bulgarian Acad Sci, Inst Math, BG-1040 Sofia, Bulgaria

[3] Univ Illinois, Dept Math, Urbana, IL 61801 USA

来源：

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2002年 / 8卷 / 05期

关键词：

greedy algorithms; Banach spaces; trigonometric approximation;

D O I：

10.1007/s00041-002-0023-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider some theoretical greedy algorithms for approximation in Banach spaces with respect to a general dictionary. We prove convergence of the algorithms for Banach spaces which satisfy certain smoothness assumptions. We compare the algorithms and their rates of convergence when the Banach space is L-p (T-d) (1 < p < infinity) and the dictionary is the trigonometric system.

引用

页码：489 / 505

页数：17

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