The Average Errors for Hermite Interpolation on the 1-Fold Integrated Wiener Space  

作　　者：Guiqiao XU Jingrui NING 

机构地区：[1]Department of Mathematics, Tianjin Normal University, Tianjin 300387, China.

出　　处：《Chinese Annals of Mathematics,Series B》2012年第5期737-750,共14页数学年刊（B辑英文版）

摘　　要：For the weighted approximation in Lp-norm,the authors determine the weakly asymptotic order for the p-average errors of the sequence of Hermite interpolation based on the Chebyshev nodes on the 1-fold integrated Wiener space.By this result,it is known that in the sense of information-based complexity,if permissible information functionals are Hermite data,then the p-average errors of this sequence are weakly equivalent to those of the corresponding sequence of the minimal p-average radius of nonadaptive information.

关 键 词：Chebyshev polynomial Hermite interpolation Weighted Lp-norm 1-Fold integrated Wiener space 

分 类 号：O174.42[理学—数学] O174.41[理学—基础数学]