Fractals and Bernstein polynomials (Q1382403)
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scientific article; zbMATH DE number 1134653
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fractals and Bernstein polynomials |
scientific article; zbMATH DE number 1134653 |
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Fractals and Bernstein polynomials (English)
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26 March 1998
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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.
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Bernstein polynomials
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iterative functional systems
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fractal attractors
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