Average error bounds of trigonometric approximation on periodic Wiener spaces.

In this paper, we study the approximation of identity operator and the convolution integral operator B by Fourier partial sum operators, Fejér operators, Vallée-Poussin operators, Cesáro operators and Abel mean operators, respectively, on the periodic Wiener space ( C(ℝ), W) and obtain the average error estimations. [ABSTRACT FROM AUTHOR]