Acta Mathematica Sinica, English Series

, Volume 29, Issue 3, pp 535–546

Average error bounds of trigonometric approximation on periodic Wiener spaces

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 Bm by Fourier partial sum operators, Fejér operators, Vallée-Poussin operators, Cesáro operators and Abel mean operators, respectively, on the periodic Wiener space (C1(ℝ),W) and obtain the average error estimations.

Keywords

Average error boundstrigonometric polynomial approximationperiodic Wiener spaces

MR(2000) Subject Classification

28C2041A3542A1042A85

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

Authors and Affiliations

  1. 1.Department of MathematicsBeijing JiaoTong UniversityBeijingP. R. China