Approximation by Vallée-Poussin Type Means of Vilenkin-Fourier Series

IF 0.5 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

P-Adic Numbers Ultrametric Analysis and Applications Pub Date : 2024-07-30 DOI:10.1134/s2070046624030075

S. S. Volosivets

引用次数: 0

Abstract

We estimate the degree of approximation by linear means of Vallée-Poussin type of Vilenkin-Fourier series in classical Lebesgue spaces and in a space of generalized continuous functions. These results generalize ones obtained by I. Blahota and G.Gat for means of Walsh-Fourier series.

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维伦金-傅里叶级数的 Vallée-Poussin 型近似手段

摘要我们估算了经典 Lebesgue 空间和广义连续函数空间中 Vilenkin-Fourier 级数的 Vallée-Poussin 型线性手段的逼近程度。这些结果概括了 I. Blahota 和 G.Gat 针对沃尔什-傅里叶级数手段所得到的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

P-Adic Numbers Ultrametric Analysis and Applications MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

1.10

自引率

20.00%

发文量

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