The Average Errors for the Grünwald Interpolation in the Wiener Space

Yingfang Du and Huajie Zhao

Discrete Dynamics in Nature and Society, 2009, vol. 2009, 1-12

Abstract:

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 ð ¿ ð ‘ -norm ( 2 ≤ ð ‘ž ≤ 4 ) approximation, the ð ‘ -average ( 1 ≤ ð ‘ â‰¤ 4 ) error of some Grünwald interpolation sequences is weakly equivalent to the ð ‘ -average errors of the best polynomial approximation sequence.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:475320

DOI: 10.1155/2009/475320

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