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arXiv · 2312.00810

Approximation by N\"orlund means with respect to Vilenkin system in Lebesgue spaces

N. Anakidze·N. Areshidze·L. Baramidze
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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 $1\leq p<\infty$.

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N. Anakidze, N. Areshidze, L. Baramidze. 2023-11-27. Approximation by N\"orlund means with respect to Vilenkin system in Lebesgue spaces. https://arxiv.org/abs/2312.00810

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