A Sufficient Condition for Uniform Convergence of Trigonometric Series with p-Bounded Variation Coefficients

被引：0

作者：

Mateusz Kubiak

Bogdan Szal

机构：

[1] University of Zielona Góra,Faculty of Mathematics, Computer Science and Econometrics

来源：

Results in Mathematics | 2023年 / 78卷

关键词：

Sine series; Cosine series; Trigonometric series; Embedding relations; Number sequences; -bounded variation sequences; 40A30; 42A10;

D O I：

暂无

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摘要：

In this paper we consider trigonometric series with p-bounded variation coefficients. We presented a sufficient condition for uniform convergance of such series in case p>1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$p>1$$\end{document}. This condition is significantly weaker than these obtained in the results on this subject known in the literature.

引用

共 19 条

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