English

Approximation by $T$ means with respect to Vilenkin system in Lebesgue spaces and Lipschitz classes

General Mathematics 2024-05-31 v1

Abstract

In this paper we present and prove some new results concerning approximation properties of TT means with respect to the Vilenkin system in Lebesgue spaces and Lipschitz classes for any 1p<1\leq p<\infty. As applications, we obtain extension of some known approximation inequalities.

Keywords

Cite

@article{arxiv.2405.19350,
  title  = {Approximation by $T$ means with respect to Vilenkin system in Lebesgue spaces and Lipschitz classes},
  author = {N. Anakidze and N. Areshidze and L. -E. Persson and G. Tephnadze},
  journal= {arXiv preprint arXiv:2405.19350},
  year   = {2024}
}