Fractals and Bernstein polynomials
type: Item
instance of: scholarly article
title: Fractals and Bernstein polynomials
zbMATH Open document ID: 0892.58043
DOI: 10.1007/BF00150833
published in: Periodica Mathematica Hungarica
publication date: 1998-03-26T00:00:00Z
review text: The aim of the article is the construction of the iterative (hyperbolic) function system (ISF) whose attractor is the graph of a polynomial of arbitrary degree. Using some properties of Bernstein polynomials it gives an answer on \textit{M. F. Barnsley}'s problem 6.4.8. in [`Fractals everywhere' (Academic Press, Boston etc.) (1988; Zbl 0691.58001)] in connection with the hidden variable fractal interpolation.
Mathematics Subject Classification ID: 37B99
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 1134653
zbMATH Keywords: Bernstein polynomials
zbMATH Keywords: iterative functional systems
zbMATH Keywords: fractal attractors
author: Ljubiša Kocić
reviewed by: Boris V. Loginov
MaRDI profile type: Publication
cites work: Q4040874
cites work: Q3731958
cites work: On the stability of transformations between power and Bernstein polynomial forms
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full work available at URL: https://doi.org/10.1007/bf00150833
OpenAlex ID: W2013205401
description: scientific article; zbMATH DE number 1134653