文章基本信息

标题：The Average Errors for the Grünwald Interpolation in the Wiener Space
本地全文：下载
作者：Yingfang Du ; Huajie Zhao
期刊名称：Discrete Dynamics in Nature and Society
印刷版ISSN：1026-0226
电子版ISSN：1607-887X
出版年度：2009
卷号：2009
DOI：10.1155/2009/475320
出版社：Hindawi Publishing Corporation
摘要：We determine the weakly asymptotically orders for the average errors of the Grünwald interpolation sequences based on the Tchebycheff nodes in the Wiener space. By these results we know that for the 𝐿𝑝-norm (2≤𝑞≤4) approximation, the 𝑝-average (1≤𝑝≤4) error of some Grünwald interpolation sequences is weakly equivalent to the 𝑝-average errors of the best polynomial approximation sequence.