Fractal continuation

DOI10.1007/s00365-013-9205-3zbMath1279.28013arXiv1209.6100OpenAlexW3037623331MaRDI QIDQ378144

Michael F. Barnsley, Andrew Vince

Publication date: 11 November 2013

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.6100

zbMATH Keywords

interpolationiterated function systemanalytic continuationfractal function

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Interpolation in approximation theory (41A05) Fractals (28A80) Real-analytic functions (26E05)

Related Items (15)

Parameterized \textit{IFS} with the asymptotic average shadowing property ⋮ Approximation of rough functions ⋮ The chain properties and average shadowing property of iterated function systems ⋮ Minkowski's question mark measure ⋮ Asymptotic average shadowing property and chain transitivity for multiple flow systems ⋮ Parameter Identification for a Class of Bivariate Fractal Interpolation Functions and Constrained Approximation ⋮ Homoclinic attractors in discontinuos iterated function systems ⋮ Fractal interpolation functions with partial self similarity ⋮ Fractal tilings from iterated function systems ⋮ Constructive solutions for systems of iterative functional equations ⋮ Quintic Hermite Fractal Interpolation in a Strip: Preserving Copositivity ⋮ BASIC TOPOLOGICAL STRUCTURE OF FAST BASINS ⋮ Fractal and Hausdorff dimensions for systems of iterative functional equations ⋮ Developments in fractal geometry ⋮ Chain Mixing and Chain Transitive Iterated Function Systems

Cites Work

• Fractal polynomial interpolation
• The calculus of fractal interpolation functions
• Fractal functions and interpolation
• Introduction to the theory of analytic spaces
• Random Affine Iterated Function Systems: Curve Generation and Wavelets
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