The Average Errors for the Grünwald Interpolation in the Wiener Space | Zendy

DU Yingfang | Zendy; Zhao Hua-jie | Zendy

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The Average Errors for the Grünwald Interpolation in the Wiener Space

Author(s) -

DU Yingfang,

Zhao Hua-jie

Publication year - 2009

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2009/475320

Subject(s) - mathematics , interpolation (computer graphics) , norm (philosophy) , sequence (biology) , space (punctuation) , polynomial , combinatorics , discrete mathematics , mathematical analysis , computer science , artificial intelligence , biology , motion (physics) , political science , law , genetics , operating system

We determine the weakly asymptotically orders for the average errorsof the Grünwald interpolation sequences based on the Tchebycheff nodesin the Wiener space. By these results we know that for the -norm(2≤≤4) approximation, the -average (1≤≤4) error of some Grünwald interpolation sequences is weakly equivalent to the -averageerrors of the best polynomial approximation sequence

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