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

2023/05/15 by Mateusz Kubiak, Kubiak, Mateusz, Bogdan Szal +1
Mathematics · #Approximation Theory and Sequence Spaces #Mathematical Approximation and Integration #Advanced Harmonic Analysis Research

paper · pdf · doi:10.48550/arxiv.2305.09040

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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