A sufficient condition for uniform convergence of trigonometric series with p-bounded variation coefficients

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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Bibliographic Details
Published inarXiv.org
Main Authors Kubiak, Mateusz, Szal, Bogdan
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 15.05.2023
Subjects
Coefficient of variation
Convergence
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Abstract 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.
AbstractList 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.
Author Szal, Bogdan
Kubiak, Mateusz
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Snippet In this paper we consider trigonometric series with p-bounded variation coefficients. We presented a sufficient condition for uniform convergance of such...
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Convergence
Title A sufficient condition for uniform convergence of trigonometric series with p-bounded variation coefficients
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