Approximation by N\"orlund means with respect to Walsh system in Lebesgue spaces
Classical Analysis and ODEs
2023-11-22 v1
Abstract
In this paper we improve and complement a result by M\'oricz and Siddiqi \cite{Mor}. In particular, we prove that their inequality of the N\"orlund means with respect to the Walsh system holds also without their additional condition. Moreover, we prove some new approximation results and inequalities in Lebesgue spaces for any .
Cite
@article{arxiv.2311.12434,
title = {Approximation by N\"orlund means with respect to Walsh system in Lebesgue spaces},
author = {N. Areshidze and G. Tephnadze},
journal= {arXiv preprint arXiv:2311.12434},
year = {2023}
}