Acta Mathematica Sinica, English Series

, Volume 29, Issue 3, pp 535–546

Average error bounds of trigonometric approximation on periodic Wiener spaces

Authors

    • Department of MathematicsBeijing JiaoTong University
  • Rui Min Wang
    • Department of MathematicsBeijing JiaoTong University
Article

DOI: 10.1007/s10114-012-1042-y

Cite this article as:
Wang, C.Y. & Wang, R.M. Acta. Math. Sin.-English Ser. (2013) 29: 535. doi:10.1007/s10114-012-1042-y

Abstract

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(ℝ),W ) and obtain the average error estimations.

Keywords

Average error bounds trigonometric polynomial approximation periodic Wiener spaces

MR(2000) Subject Classification

28C20 41A35 42A10 42A85

Supplementary material

10114_2012_1042_MOESM1_ESM.tex (31 kb)
Supplementary material, approximately 30.9 KB.

Copyright information

© Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg 2012