Approximation of Bounded p-variation Periodic Functions by Generalized Abel-Poisson and Logarithmic Means

被引：1

作者：

Tyuleneva, A. A. ^{[1
]}

机构：

[1] Saratov NG Chernyshevskii State Univ, Astrahanskaya St 83, Saratov 410012, Russia

来源：

IZVESTIYA SARATOVSKOGO UNIVERSITETA NOVAYA SERIYA-MATEMATIKA MEKHANIKA INFORMATIKA | 2013年 / 13卷 / 04期

关键词：

functions of bounded p-variation; generalized Abel-Poisson means; best approximation; p-variational modulus of continuity;

D O I：

10.18500/1816-9791-2013-13-4-27-35

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An asymptotic estimate of approximation by generalized Abel-Poisson means in p-variation metric on the class of functions with given majorant of p-variational best approximation is proved. Several other quantity results on approximation by these means are obtained.

引用

页码：27 / 32

页数：9

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