On the Convergence of a Weak Greedy Algorithm for the Multivariate Haar Basis

被引：3

作者：

Dilworth, S. J. ^{[1
]}

Gogyan, S. ^{[2
]}

Kutzarova, Denka ^{[3
]}

机构：

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

[2] Armenian Acad Sci, Inst Math, Yerevan 0019, Armenia

[3] Bulgarian Acad Sci, Inst Math, Sofia, Bulgaria

来源：

CONSTRUCTIVE APPROXIMATION | 2014年 / 39卷 / 02期

基金：

美国国家科学基金会;

关键词：

Greedy algorithms; Weak thresholding; Thresholding greedy algorithm; Branch-greedy; Nonlinear approximation; Multivariate Haar system; Multivariate Haar wavelet; BANACH-SPACES; APPROXIMATION; SYSTEMS;

D O I：

10.1007/s00365-013-9212-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define a family of weak thresholding greedy algorithms for the multivariate Haar basis for L (1)[0,1] (d) (da parts per thousand yen1). We prove convergence and uniform boundedness of the weak greedy approximants for all faL (1)[0,1] (d) .

引用

页码：343 / 366

页数：24

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