Cardinal interpolation with periodic polysplines on strips
type: Item
instance of: scholarly article
title: Cardinal interpolation with periodic polysplines on strips
zbMATH Open document ID: 1142.41300
author: Hermann Render
author: Aurelian Bejancu
author: Ognyan Kounchev
published in: Calcolo
publication date: 2008-06-24T00:00:00Z
review text: In a combination of the theory of \(L\)--splines and polyharmonic splines, existence and uniqueness of cardinal Lagrange functions is established. This is for spaces of so-called polysplines, a certain generalisation of splines in multiple dimensions on grids and special structures with parallel hyperplanes. Asymptotic decay estimates are given for these Lagrange functions, too.
reviewed by: Martin D. Buhmann
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 41A15
Mathematics Subject Classification ID: 41A63
zbMATH DE Number: 5292373
zbMATH Keywords: cardinal lambda-splines
zbMATH Keywords: polyharmonic functions
zbMATH Keywords: multivariable interpolation
MaRDI profile type: Publication
full work available at URL: s10092-007-0137-9
OpenAlex ID: W2046288772
cites work: Q4438242
cites work: Box splines
cites work: Radial Basis Functions
cites work: Q4003151
cites work: Q4031618
cites work: Multivariate polysplines: applications to numerical and wavelet analysis
cites work: Cardinal interpolation with polysplines on annuli
cites work: Polyharmonic cardinal splines
cites work: Cardinal interpolation and spline functions. II: Interpolation of data of power growth
cites work: Q5680530
DOI: 10.1007/S10092-007-0137-9
description: scientific article; zbMATH DE number 5292373