English

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

Classical Analysis and ODEs 2023-05-17 v1

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.

Keywords

Cite

@article{arxiv.2305.09039,
  title  = {A sufficient condition for uniform convergence of trigonometric series with p-bounded variation coefficients},
  author = {Mateusz Kubiak and Bogdan Szal},
  journal= {arXiv preprint arXiv:2305.09039},
  year   = {2023}
}