On convergence of Weak Thresholding Greedy Algorithm in L1 (0,1)

被引：6

作者：

Gogyan, Smbat ^{[1
]}

机构：

[1] Armenian Acad Sci, Inst Math, Yerevan 375019, Armenia

来源：

JOURNAL OF APPROXIMATION THEORY | 2009年 / 161卷 / 01期

关键词：

Haar system; Weak Thresholding Greedy Algorithm; Greedy Algorithm; Quasi-greedy basis; Convergence; SYSTEMS; APPROXIMATION;

D O I：

10.1016/j.jat.2008.08.017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For any 0 < t < 1 we construct a Weak Thresholding Greedy Algorithm with weakness parameter t which converges in L-1 (0, 1) with respect to the Haar system, i. e. the Haar system is a 'good non quasi-greedy basis. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：49 / 64

页数：16

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