A simple rational spline and its application to monotonic interpolation to monotonic data
type: Item
instance of: scholarly article
title: A simple rational spline and its application to monotonic interpolation to monotonic data
zbMATH Open document ID: 0632.65006
DOI: 10.1007/BF01390428
author: Manabu Sakai
author: María Cruz López de Silanes
published in: Numerische Mathematik
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/133146
review text: The authors first introduce a class of simple rational splines which have analogous properties to those of polynomial B-splines. They consider an application of the above ones to twice continuously differentiable monotonic interpolation for given monotonic data. They remark that the monotonic quadratic spline interpolation method by \textit{E. Passow} [J. Approx. Theory 19, 143-147 (1977; Zbl 0361.41005)] coincides with their method under a certain extreme case.
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 41A15
Mathematics Subject Classification ID: 41A20
zbMATH DE Number: 4028712
zbMATH Keywords: rational splines
zbMATH Keywords: polynomial B-splines
zbMATH Keywords: monotonic interpolation
zbMATH Keywords: monotonic data
zbMATH Keywords: monotonic quadratic spline interpolation method
describes a project that uses: pchip
MaRDI profile type: Publication
cites work: Q5540873
cites work: Monotone Piecewise Cubic Interpolation
cites work: Algorithms for Computing Shape Preserving Spline Interpolations to Data
cites work: Monotone quadratic spline interpolation
cites work: Alternatives to the Exponential Spline in Tension
cites work: Q3895980
cites work: Q4403236
description: scientific article; zbMATH DE number 4028712