A criterion for the positivity of rational cubic \(C^ 2\)-spline interpolants
type: Item
instance of: scholarly article
title: A criterion for the positivity of rational cubic \(C^ 2\)-spline interpolants
zbMATH Open document ID: 0716.65003
DOI: 10.1007/BF02241274
author: D. Kharzeev
published in: Computing
publication date: 1990-01-01T00:00:00Z
review text: By means of a finite set of inequalities a sufficient and necessary condition for the positivity of rational cubic splines is given which holds true whenever the rationality parameters are sufficiently large.
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 4180629
zbMATH Keywords: positive spline interpolation
zbMATH Keywords: existence condition
zbMATH Keywords: rational cubic splines
MaRDI profile type: Publication
cites work: Splines with Nonnegative B-Spline Coefficients
cites work: Q3810283
cites work: A local algorithm for constructing non-negative cubic splines
cites work: The derivation of cubic splines with obstacles by methods of optimization and optimal control
cites work: Positive interpolation with rational splines
cites work: Positive interpolation with rational quadratic splines
cites work: Positivity of cubic polynomials on intervals and positive spline interpolation
cites work: Non-negative exponential splines
cites work: An Analysis of Two Algorithms for Shape-Preserving Cubic Spline Interpolation
full work available at URL: https://doi.org/10.1007/bf02241274
OpenAlex ID: W97087853
description: scientific article; zbMATH DE number 4180629