Publication
Title
Comonotone and coconvex rational interpolation and approximation
Author
Abstract
Comonotonicity and coconvexity are well-understood in uniform polynomial approximation and in piecewise interpolation. The covariance of a global (Hermite) rational interpolant under certain transformations, such as taking the reciprocal, is well-known, but its comonotonicity and its coconvexity are much less studied. In this paper we show how the barycentric weights in global rational (interval) interpolation can be chosen so as to guarantee the absence of unwanted poles and at the same time deliver comonotone and/or coconvex interpolants. In addition the rational (interval) interpolant is well-suited to reflect asymptotic behaviour or the like.
Language
English
Source (journal)
Numerical algorithms. - Basel
Publication
Basel : 2011
ISSN
1017-1398
Volume/pages
58:1(2011), p. 1-21
ISI
000293793000001
Full text (Publishers DOI)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 08.09.2011
Last edited 13.04.2017
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