Average Error Bounds of Tigonometric Approximation on Periodic Wiener Spaces

作者：Wang Cheng Yong^*; Wang Rui Min

来源：Acta Mathematica Sinica-English Series, 2013, 29(3): 535-546.

DOI：10.1007/s10114-012-1042-y

• Average error bounds
• trigonometric polynomial approximation
• periodic Wiener spaces

In this paper, we study the approximation of identity operator and the convolution integral operator B-m by Fourier partial sum operators, Fejer operators, Valle-Poussin operators, Cesaro operators and Abel mean operators, respectively, on the periodic Wiener space (C-1(R),W-o) and obtain the average error estimations.

• 出版日期2013-3
• 单位北京交通大学