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

被引：0

作者：

Kubiak, Mateusz ^{[1
]}

Szal, Bogdan ^{[1
]}

机构：

[1] Univ Zielona Gora, Fac Math Comp Sci & Econometr, Szafrana 4a, PL-65516 Zielona Gora, Poland

来源：

RESULTS IN MATHEMATICS | 2023年 / 78卷 / 06期

关键词：

Sine series; Cosine series; Trigonometric series; Embedding relations; Number sequences; p-bounded variation sequences;

D O I：

10.1007/s00025-023-02011-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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. This condition is significantly weaker than these obtained in the results on this subject known in the literature.

引用

页数：19

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