Approximation by Nörlund means of Walsh-Kaczmarz-Fourier series

被引：0

作者：

Areshidze, Nika ^{[1
]}

Tephnadze, George ^{[2
]}

机构：

[1] Tbilisi State Univ, Fac Exact & Nat Sci, Dept Math, Chavchavadze Str 1, GE-0128 Tbilisi, Georgia

[2] Univ Georgia, Sch Sci & Technol, 77a Merab Kostava St, GE-0128 Tbilisi, Georgia

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2024年 / 27卷 / 01期

基金：

美国国家科学基金会;

关键词：

Walsh group; Walsh system; Fejer means; Norlund means; approximation; inequalities; NORLUND MEANS; CESARO MEANS;

D O I：

10.7153/mia-2024-27-10

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we improve and complement a result by M oricz and Siddiqi [12]. In particular, we prove that their inequality of the N orlund means with respect to the Walsh system holds also without their additional condition. Moreover, we prove some new approximation results and inequalities in Lebesgue spaces for any 1 <= p < infinity

引用

页码：137 / 147

页数：11

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