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.
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页码：295 / 301
页数：7
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