Average error bounds of trigonometric approximation on periodic Wiener spaces

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• 作者：Cheng Yong Wang (1)
  Rui Min Wang (1)
  
• 关键词：Average error bounds ; trigonometric polynomial approximation ; periodic Wiener spaces ; 28C20 ; 41A35 ; 42A10 ; 42A85
• 刊名：Acta Mathematica Sinica
• 出版年：2013
• 出版时间：March 2013
• 年：2013
• 卷：29
• 期：3
• 页码：535-546
• 全文大小：224KB
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• 作者单位：Cheng Yong Wang (1)
  Rui Min Wang (1)
  
  1. Department of Mathematics, Beijing JiaoTong University, Beijing, 100044, P. R. China
  
• ISSN：1439-7617

文摘

In this paper, we study the approximation of identity operator and the convolution integral operator B m by Fourier partial sum operators, Fejér operators, Vallée-Poussin operators, Cesáro operators and Abel mean operators, respectively, on the periodic Wiener space (C 1(?,W ?/sup>) and obtain the average error estimations.