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
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页码：137 / 147
页数：11
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