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Approximation by N\"orlund means with respect to Vilenkin system in Lebesgue spaces. (arXiv:2312.00810v1 [math.CA]) http://arxiv.org/abs/2312.00810

Approximation by Nörlund means with respect to Vilenkin system in Lebesgue spaces

In this paper we improve and complement a result by Móricz and Siddiqi \cite{Mor}. In particular, we prove that their estimate of the Nörlund 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 $1\leq p<\infty$.

arxiv.org
December 5, 2023 at 3:10 AM · · feed2toot · 0 · 0 · 0
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