LOGARITHMIC MEANS OF WALSH-FOURIER SERIES

被引：6

作者：

Goginava, Ushangi ^{[1
,2
]}

机构：

[1] I Javakhishvili Tbilisi State Univ, I Vekua Inst Appl Math, 2 Univ Str, Tbilisi 0186, Georgia

[2] I Javakhishvili Tbilisi State Univ, Fac Exact & Nat Sci, 2 Univ Str, Tbilisi 0186, Georgia

来源：

MISKOLC MATHEMATICAL NOTES | 2019年 / 20卷 / 01期

基金：

美国国家科学基金会; 芬兰科学院;

关键词：

Walsh-Fourier series; Norlund Logarithmic means; almost everywhere converges; convergence in norm; EVERYWHERE CONVERGENCE; APPROXIMATION; SUBSEQUENCES; RESPECT; UNIFORM;

D O I：

10.18514/MMN.2019.2702

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we discuss some convergence and divergence properties of subsequences of logarithmic means of Walsh-Fourier series. We give necessary and sufficient conditions for the convergence regarding logarithmic variation of numbers.

引用

页码：255 / 270

页数：16

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