Average error bounds of trigonometric approximation on periodic Wiener spaces
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- Wang, C.Y. & Wang, R.M. Acta. Math. Sin.-English Ser. (2013) 29: 535. doi:10.1007/s10114-012-1042-y
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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),Wℴ) and obtain the average error estimations.