The Average Errors for the Grünwald Interpolation in the Wiener Space

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 i...

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Bibliographic Details
Main Authors: Yingfang Du, Huajie Zhao
Format: Article
Language:English
Published: Hindawi Limited 2009-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2009/475320