Periodic spline interpolation with shifted nodes
type: Item
instance of: scholarly article
title: Periodic spline interpolation with shifted nodes
zbMATH Open document ID: 0803.41003
published in: Journal of Approximation Theory
publication date: 1994-02-17T00:00:00Z
review text: Interpolation problems with periodic splines of defect 2 on an equidistant lattice with 2 shifted nodes in each knot interval are considered. Periodic Hermite-spline interpolation are considered. Periodic Hermite-spline interpolation is obtained as a special case. A simple criterion for existence and uniqueness of solution of the considered problem can be given using Euler-Frobenius polynomials and exponential Euler splines. In this way an old problem is solved and well- known result on periodic Lagrange-spline interpolation is generalized. An extension to cardinal spline interpolation is also shown.
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 502994
zbMATH Keywords: equidistant lattice
zbMATH Keywords: Euler-Frobenius polynomials
zbMATH Keywords: exponential Euler splines
zbMATH Keywords: cardinal spline
author: Gerlind Plonka
MaRDI profile type: Publication
full work available at URL: jath.1994.1001
OpenAlex ID: W2059995070
DOI: 10.1006/JATH.1994.1001
description: scientific article; zbMATH DE number 502994