Approximation by N\"orlund means with respect to Vilenkin system in Lebesgue spaces
Classical Analysis and ODEs
2023-12-06 v1
Abstract
In this paper we improve and complement a result by M\'oricz and Siddiqi \cite{Mor}. In particular, we prove that their estimate of the N\"orlund means with respect to the Vilenkin system holds also without their additional condition. Moreover, we prove a similar approximation result in Lebesgue spaces for any .
Cite
@article{arxiv.2312.00810,
title = {Approximation by N\"orlund means with respect to Vilenkin system in Lebesgue spaces},
author = {N. Anakidze and N. Areshidze and L. Baramidze},
journal= {arXiv preprint arXiv:2312.00810},
year = {2023}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2311.12434