arXiv subjects

Mateusz Kubiak

Publications and source records attributed to Mateusz Kubiak.

2 recordsLinked to original sources

arXiv2023

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

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.

math.CA↗

arXiv2023

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

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.

math.CA↗