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arXiv · 2305.09040

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

Mateusz Kubiak·Bogdan Szal
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Abstract

In the present paper we will introduce a new class of double sequences called DGM (p, alpha, beta, gamma, r), which is the generalization of a class considered by Szal and Duzinkiewicz. Moreover, we obtained in this note a sufficient condition for the uniform convergence of double sine series with coefficients belonging to this class.

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Mateusz Kubiak, Bogdan Szal. 2023-05-15. A sufficient condition for uniform convergence of double sine series with p-bounded variation coefficients. https://arxiv.org/abs/2305.09040

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