The simultaneous approximation order by Hermite interpolation in a smooth domain
type: Item
instance of: scholarly article
title: The simultaneous approximation order by Hermite interpolation in a smooth domain
zbMATH Open document ID: 1028.30029
author: Tian Liang Tu
publication date: 2004-01-15T00:00:00Z
review text: Let \(D\) be a smooth domain in the complex plane. This paper discusses the simultaneous approximation to a function and its \(i\)th (\(0<i\leq q\)) derivatives by Hermite interpolation on \(D\). The orders of uniform approximation and mean approximation are obtained under some domain boundary conditions. Some known results are included as paticular cases of the theorems of this paper.
Mathematics Subject Classification ID: 30E05
Mathematics Subject Classification ID: 30E10
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 41A10
Mathematics Subject Classification ID: 41A28
zbMATH DE Number: 1921155
zbMATH Keywords: simultaneous approximation
zbMATH Keywords: Hermite interpolation
zbMATH Keywords: approximation order
reviewed by: Yingguang Shi
MaRDI profile type: Publication
full work available at URL: s10114-002-0202-x
OpenAlex ID: W2060868572
cites work: On Hermite-Fejer Interpolation in a Jordan Domain
cites work: Q4936811
cites work: Q3983300
cites work: Q3836937
cites work: Q4718973
cites work: Q3937799
cites work: On some interpolatory procedures based on the roots of unity
DOI: 10.1007/S10114-002-0202-X
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published in: Acta Mathematica Sinica, English Series
description: scientific article; zbMATH DE number 1921155