Null spaces of differential operators, polar forms, and splines
type: Item
instance of: scholarly article
title: Null spaces of differential operators, polar forms, and splines
zbMATH Open document ID: 0859.41008
author: Dan Gonsor
author: Marian Neamtu
published in: Journal of Approximation Theory
publication date: 1997-04-15T00:00:00Z
review text: In this paper, the authors consider a very general class of so-called \({\mathcal D}\)-polynomials based on the solution of an initial value problem for certain constant coefficient second order differential operators. Based on a general theory of polar forms, a Bernstein-Bézier approach for such \({\mathcal D}\)-polynomials is described, and subsequently a spline theory for piecewise \({\mathcal D}\)-polynomials which includes known approaches such as algebraic and trigonometric polynomial splines and hyperbolic splines. Specifically, knot insertion and subdivision are investigated in this general context.
Mathematics Subject Classification ID: 41A15
Mathematics Subject Classification ID: 41A30
zbMATH DE Number: 912344
zbMATH Keywords: polar forms
zbMATH Keywords: non-polynomial splines
zbMATH Keywords: knot insertion algorithms
reviewed by: E. Quak
MaRDI profile type: Publication
OpenAlex ID: W2074830456
DOI: 10.1006/JATH.1996.0056
description: scientific article; zbMATH DE number 912344