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arXiv · 2305.09039

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

Mateusz Kubiak·Bogdan Szal
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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.

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Mateusz Kubiak, Bogdan Szal. 2023-05-15. A sufficient condition for uniform convergence of trigonometric series with p-bounded variation coefficients. https://arxiv.org/abs/2305.09039

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