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
收藏
页码：489 / 505
页数：17
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