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.
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页数：19
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