The Average Errors for Lagrange Interpolation on the Wiener Space  

作　　者：Gui Qiao XU 

机构地区：[1]Department of Mathematics,Tianjin Normal University

出　　处：《Acta Mathematica Sinica,English Series》2012年第8期1581-1596,共16页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China(Grant No.10471010)

摘　　要：For the weighted approximation in Lp-norm, we determine the asymptotic order for the p- average errors of Lagrange interpolation sequence based on the Chebyshev nodes on the Wiener space. We also determine its value in some special case.For the weighted approximation in Lp-norm, we determine the asymptotic order for the p- average errors of Lagrange interpolation sequence based on the Chebyshev nodes on the Wiener space. We also determine its value in some special case.

关 键 词：Chebyshev polynomial Lagrange interpolation weighted Lp-norm Wiener space 

分 类 号：O174.42[理学—数学]