Approximation of smooth functions by polyharmonic cardinal splines in \(L_p(\mathbb{R}^n)\) space
type: Item
instance of: scholarly article
title: Approximation of smooth functions by polyharmonic cardinal splines in \(L_p(\mathbb{R}^n)\) space
zbMATH Open document ID: 0930.41011
DOI: 10.1007/BF02677422
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 2000-02-06T00:00:00Z
full work available at URL: https://eudml.org/doc/163236
review text: \textit{W. R. Madych} and \textit{S. A. Nelson} [J. Approximation Theory 60, 141-156 (1990; Zbl 0702.41020)] generalised a cardinal spline interpolation problem to multivariate splines. The author studies here the remainders and the convergence of cardinal polyharmonic spline interpolation [cf. \textit{C. A. Micchelli} in `Studies in spline function and approximation theory, Academic Press, New York (1976; Zbl 0323.00007)].
Mathematics Subject Classification ID: 41A15
Mathematics Subject Classification ID: 41A25
zbMATH DE Number: 1328394
zbMATH Keywords: polyharmonic splines
zbMATH Keywords: cardinal interpolation
zbMATH Keywords: remainder formula
author: Yong-ping Liu
reviewed by: H. P. Dikshit
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1328394