Multivariate interpolating \((m,\ell,s)\)-splines
type: Item
instance of: scholarly article
title: Multivariate interpolating \((m,\ell,s)\)-splines
zbMATH Open document ID: 0955.41008
DOI: 10.1023/A:1018940429434
author: Alain Le Méhauté
author: A. Bouhamidi
published in: Advances in Computational Mathematics
publication date: 2000-09-07T00:00:00Z
review text: The \((m,l,s)\)-splines form a semi-Hilbert space of tempered distributions on \(R^d\). They generalize the thin plate splines. The authors consider \((m,l,s)\)-splines, which interpolate with respect to some finite number of linear continuous functionals and minimize the semi-norm. The existence and uniqueness of such interpolating splines is proved and some examples are given.
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 1421725
zbMATH Keywords: multivariate interpolation
zbMATH Keywords: thin plate splines
zbMATH Keywords: semi-Hilbert space
zbMATH Keywords: distributions
reviewed by: Rudolf Wegmann
MaRDI profile type: Publication
full work available at URL: a:1018940429434
OpenAlex ID: W20057491
description: scientific article; zbMATH DE number 1421725