Approximation by trigonometric polynomials in the framework of variable exponent grand Lebesgue spaces

被引：14

作者：

Danelia, Nina ^{[1
]}

Kokilashvili, Vakhtang ^{[2
]}

机构：

[1] I Javakhishvili Tbilisi State Univ, Dept Exact & Nat Sci, 2 Univ St, GE-0186 Tbilisi, Georgia

[2] I Javakhishvili Tbilisi State Univ, A Razmadze Math Inst, 6 Tamarashvili Str, GE-0177 Tbilisi, Georgia

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2016年 / 23卷 / 01期

关键词：

Variable exponent grand Lebesgue space; best approximation by trigonometric polynomials; moduli of smoothness; maximal and conjugate functions; Bernstein type inequality;

D O I：

10.1515/gmj-2015-0059

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we establish direct and inverse theorems on approximation by trigonometric polynomials for the functions of the closure of the variable exponent Lebesgue space in the variable exponent grand Lebesgue space.

引用

页码：43 / 53

页数：11

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