, Volume 29, Issue 3, pp 535-546

Average error bounds of trigonometric approximation on periodic Wiener spaces

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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.