关于 Lebesgue 空间和 Lipschitz 类中的 Vilenkin 系统的 $T$ 近似手段

arXiv - MATH - General Mathematics Pub Date : 2024-05-21 DOI:arxiv-2405.19350

N. Anakidze, N. Areshidze, L. -E. Persson, G. Tephnadze

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引用次数: 0

摘要

在本文中，我们提出并证明了一些新的结果，这些结果是关于任意1美元（leq p<\infty$）的Lebesgue空间和Lipschitz类中Vilenkin系统的$T$手段的近似性质。作为应用，我们得到了一些已知近似不等式的扩展。

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

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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arXiv - MATH - General Mathematics

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