Approximation of infinite dimensional fractals generated by integral equations

DOI10.1016/j.cam.2010.02.017zbMath1203.28005OpenAlexW2019240708MaRDI QIDQ972746

B. E. Eshmatov

Publication date: 21 May 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2010.02.017

zbMATH Keywords

Fredholm integral equationattractororthogonal projectionfractaliterated function system (IFS)

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Fractals (28A80)

Related Items (6)

On stability of a class of second alpha-order fractal differential equations ⋮ Algorithms generating images of attractors of generalized iterated function systems ⋮ On the connectedness of attractors of orbital contractive IFSs ⋮ Approximating the attractor set of iterated function systems of order \(m\) by \(\alpha\)-dense curves ⋮ A multiresolution algorithm to generate images of generalized fuzzy fractal attractors ⋮ Type \(\mathcal{A}\) sets and the attractors of infinite iterated function systems

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• On natural invariant measures on generalised iterated function systems
• The Hutchinson-Barnsley theory for infinite iterated function systems
• Infinite Iterated Function Systems: A Multivalued Approach

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