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arXiv · 2405.19350

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

N. Anakidze·N. Areshidze·L. -E. Persson·G. Tephnadze
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Abstract

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

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N. Anakidze, N. Areshidze, L. -E. Persson, G. Tephnadze. 2024-05-21. Approximation by $T$ means with respect to Vilenkin system in Lebesgue spaces and Lipschitz classes. https://arxiv.org/abs/2405.19350

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