Nonlinear wavelet approximation of periodic function classes with generalized mixed smoothnes

被引：1

作者：

Balgimbayeva, S. ^{[1
]}

Smirnov, T. ^{[1
]}

机构：

[1] Inst Math & Math Modeling, Dept Funct Theory, Pushkin Str 125, Alma Ata 050010, Kazakhstan

来源：

ANALYSIS MATHEMATICA | 2017年 / 43卷 / 01期

关键词：

unconditional basis; best m-term approximation; greedy algorithm; generalized mixed smoothness; wavelet type system; trigonometric polynomial; majorant; ALGORITHMS;

D O I：

10.1007/s10476-017-0101-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the approximation properties of L (q) -greedy algorithms with respect to the known wavelet type system U (d) , which consists of shifts of the Dirichlet kernels on Nikol'skii-Besov and Lizorkin-Triebel function classes with given majorant of a mixed modulus of smoothness.

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页数：26

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