Average Error Bounds of Tigonometric Approximation on Periodic Wiener Spaces

被引：0
|
作者：
Wang, Cheng Yong [1 ]
Wang, Rui Min [1 ]
机构：
[1] Beijing JiaoTong Univ, Dept Math, Beijing 100044, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2013年 / 29卷 / 03期
关键词：
Average error bounds; trigonometric polynomial approximation; periodic Wiener spaces;
D O I：
10.1007/s10114-012-1042-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the approximation of identity operator and the convolution integral operator B-m by Fourier partial sum operators, Fejer operators, Valle-Poussin operators, Cesaro operators and Abel mean operators, respectively, on the periodic Wiener space (C-1(R),W-o) and obtain the average error estimations.
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页码：535 / 546
页数：12
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