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

被引：0

作者：

Volosivets, S. S. ^{[1
]}

机构：

[1] Saratov NG Chernyshevskii State Univ, Dept Mech & Math, Saratov 410071, Russia

来源：

P-ADIC NUMBERS ULTRAMETRIC ANALYSIS AND APPLICATIONS | 2024年 / 16卷 / 03期

关键词：

Vilenkin-Fourier series; linear means; degree of approximation; modulus of smoothness;

D O I：

10.1134/S2070046624030075

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We estimate the degree of approximation by linear means of Vallee-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.

引用

页码：295 / 301

页数：7

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