Almost everywhere divergence of Cesàro means with varying parameters of Walsh-Fourier series

被引：3

作者：

Goginava, Ushangi ^{[1
]}

机构：

[1] United Arab Emirates Univ, Dept Math Sci, POB 15551, Abu Dhabi, U Arab Emirates

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2024年 / 529卷 / 02期

关键词：

Almost everywhere divergence; Cesaro means with varying; parameters; Walsh functions; GENERALIZED CESARO MEANS; CONVERGENCE;

D O I：

10.1016/j.jmaa.2023.127153

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the presented paper, we are going to solve the problem related to the almost everywhere divergence of the (C, alpha n) means of Walsh-Fourier series. Namely, we establish that for every sequence (alpha n : n is an element of P) that tends to zero arbitrarily slowly, there exists an integrable function f for which (C, alpha n) means of Walsh-Fourier series is divergent almost everywhere.(c) 2023 Elsevier Inc. All rights reserved.

引用

页数：9

共 25 条

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