English

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

Classical Analysis and ODEs 2023-05-17 v1

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.

Keywords

Cite

@article{arxiv.2305.09040,
  title  = {A sufficient condition for uniform convergence of double sine series with p-bounded variation coefficients},
  author = {Mateusz Kubiak and Bogdan Szal},
  journal= {arXiv preprint arXiv:2305.09040},
  year   = {2023}
}