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Fractal interpolation over nonlinear partitions

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Publication:2677473
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DOI10.1016/j.chaos.2022.112503zbMath1506.28009arXiv2203.07935OpenAlexW4291121488MaRDI QIDQ2677473

Peter R. Massopust

Publication date: 13 January 2023

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.07935


zbMATH Keywords

perturbationattractoriterated function systemLebesgue-Bochner spacefractal functionfractal interpolationRead-Bajraktarević operator


Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Interpolation in approximation theory (41A05) Fractals (28A80)


Related Items (2)

FRACTAL INTERPOLATION ALGORITHMS FOR COMPLEX CURVES AND SURFACES ⋮ Histopolating fractal functions



Cites Work

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  • Constructive solutions for systems of iterative functional equations
  • Fractal polynomial interpolation
  • Fractal functions and interpolation
  • Old wine in fractal bottles. I: Orthogonal expansions on self-referential spaces via fractal transformations
  • Approximation of rough functions
  • Analysis in Banach Spaces
  • Numerics and Fractals
  • Fixed Point Theorems and Applications


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