Improved accuracy of \(L_{p}\)-approximation to derivatives by radial basis function interpolation
type: Item
instance of: scholarly article
title: Improved accuracy of \(L_{p}\)-approximation to derivatives by radial basis function interpolation
zbMATH Open document ID: 1062.41020
author: Jungho Yoon
published in: Applied Mathematics and Computation
publication date: 2005-02-22T00:00:00Z
Mathematics Subject Classification ID: 41A30
zbMATH DE Number: 2136130
zbMATH Keywords: Radial basis function
zbMATH Keywords: Interpolation
zbMATH Keywords: Sobolev space
zbMATH Keywords: Multiquadric
zbMATH Keywords: Shifted surface spline
MaRDI profile type: Publication
full work available at URL: j.amc.2003.12.013
OpenAlex ID: W2078596506
cites work: Q3485377
cites work: On multivariate approximation by integer translates of a basis function
cites work: Sur l’erreur d’interpolation des fonctions de plusieurs variables par les $D^m$-splines
cites work: Q5724171
cites work: Interpolation of scattered data: distance matrices and conditionally positive definite functions
cites work: Q3482292
cites work: Multivariate Interpolation and Conditionally Positive Definite Functions. II
cites work: Q4026010
cites work: The uniform convergence of thin plate spline interpolation in two dimensions
cites work: Local error estimates for radial basis function interpolation of scattered data
cites work: Interpolation by radial functions on Sobolev space
cites work: $L_p$-error estimates for ``shifted'' surface spline interpolation on Sobolev space
cites work: On the stationary \(L_{p}\)-approximation power to derivatives by radial basis function interpolation.
DOI: 10.1016/J.AMC.2003.12.013
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description: scientific article; zbMATH DE number 2136130