Shape preserving approximations by polynomials and splines
type: Item
instance of: scholarly article
title: Shape preserving approximations by polynomials and splines
zbMATH Open document ID: 0911.65006
DOI: 10.1016/S0898-1221(97)00087-4
publication date: 1999-04-22T00:00:00Z
review text: A review of shape preserving methods and algorithms for approximating univariate functions or discrete data is presented. Monotonicity and/or convexity preserving interpolations by polynomials, polynomial and rational polynomial splines are presented. Inter alia the Fritsch-Carlson method is discussed in details [cf. \textit{F. N. Fritsch} and \textit{R. E. Carlson}, SIAM, J. Numer. Anal. 17, 238-246 (1980; Zbl 0423.65011)]. Splines of lower degree are mainly considered [cf. \textit{R. Delbourgo} and \textit{J. A. Gregory}, SIAM, J. Sci. Stat. Comput. 6, 967-976 (1985; Zbl 0586.65006)]. Some other shape preserving approximating methods like approximation by positive linear operators are also discussed by the authors [cf. \textit{R. A. DeVore}, The approximation of continuous functions by positive linear operators, Lect. Notes Math. 293 (1972; Zbl 0276.41011)].
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 41A15
Mathematics Subject Classification ID: 41A29
zbMATH DE Number: 1067160
zbMATH Keywords: shape preserving methods
zbMATH Keywords: algorithms
zbMATH Keywords: positive linear operators
zbMATH Keywords: monotonicity and/or convexity preserving interpolations
zbMATH Keywords: rational polynomial splines
author: Ljubiša Kocić
author: Gradimir V. Milovanović
reviewed by: H. P. Dikshit
describes a project that uses: pchip
MaRDI profile type: Publication
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Shape preserving approximations by polynomials and splines (full work available at URL)
full work available at URL: s0898-1221(97)00087-4

Shape preserving approximations by polynomials and splines (OpenAlex ID)
OpenAlex ID: W2013069667

Shape preserving approximations by polynomials and splines (published in)
published in: Computers & Mathematics with Applications