Constrained shape preserving rational cubic fractal interpolation functions
type: Item
instance of: scholarly article
title: Constrained shape preserving rational cubic fractal interpolation functions
zbMATH Open document ID: 1391.28005
DOI: 10.1216/RMJ-2018-48-1-75
author: K. R. Tyada
author: A. K. B. Chand
published in: Rocky Mountain Journal of Mathematics
publication date: 2018-05-07T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.rmjm/1524880882
review text: In this paper, the authors discuss the construction of \({\mathcal C}^1\)-rational cubic fractal interpolation function of a given data set, together with the error estimate of the approximation with the original function. When the data set is constrained between two piecewise straight lines, they derive sufficient conditions such that the interpolation function lies between those two lines. Numerical examples illustrate their theoretical results.
Mathematics Subject Classification ID: 28A80
Mathematics Subject Classification ID: 37C25
Mathematics Subject Classification ID: 41A30
Mathematics Subject Classification ID: 41A55
Mathematics Subject Classification ID: 42A15
zbMATH DE Number: 6866701
zbMATH Keywords: iterated function systems
zbMATH Keywords: fractal interpolation
zbMATH Keywords: convergence analysis
zbMATH Keywords: bounding Cauchy remainder
zbMATH Keywords: Peano-kernel theorem
zbMATH Keywords: constrained data interpolation
zbMATH Keywords: positivity
reviewed by: George Stoica
MaRDI profile type: Publication
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Wikidata QID: Q129899965
description: scientific article; zbMATH DE number 6866701