The average errors for the Grünwald interpolation in the Wiener space
type: Item
instance of: scholarly article
title: The average errors for the Grünwald interpolation in the Wiener space
zbMATH Open document ID: 1177.41002
DOI: 10.1155/2009/475320
author: Yingfang Du
author: Huajie Zhao
published in: Discrete Dynamics in Nature and Society
publication date: 2009-11-23T00:00:00Z
full work available at URL: https://eudml.org/doc/226202
review text: Summary: We determine the weakly asymptotically orders for the average errors of the Grünwald interpolation sequences based on the Chebyshev nodes in the Wiener space. By these results we know that for the \(L_{p}\)-norm \((2\leq q\leq 4)\) approximation, the \(p\)-average \((1\leq p\leq 4)\) error of some Grünwald interpolation sequences is weakly equivalent to the \(p\)-average errors of the best polynomial approximation sequence.
Mathematics Subject Classification ID: 41A05
zbMATH DE Number: 5637363
zbMATH Keywords: Chebyshev polynomials
zbMATH Keywords: best polynomial approximation
Wikidata QID: Q58647486
MaRDI profile type: Publication
OpenAlex ID: W1987317074
cites work: Q3993279
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description: scientific article; zbMATH DE number 5637363