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

• Published in: arXiv.org
• Main Authors: Kubiak, Mateusz, Szal, Bogdan
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 15.05.2023
• Subjects: Coefficient of variation; Convergence

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.