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PCF self-similar sets and fractal interpolation

Author

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  • Amo, Enrique de
  • Díaz Carrillo, Manuel
  • Fernández Sánchez, Juan

Abstract

The aim of this paper is to show, using some of Barnsley's ideas, how it is possible to generalize a fractal interpolation problem to certain post critically finite (PCF) compact sets in ℝn. We use harmonic functions to solve this fractal interpolation problem.

Suggested Citation

  • Amo, Enrique de & Díaz Carrillo, Manuel & Fernández Sánchez, Juan, 2013. "PCF self-similar sets and fractal interpolation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 92(C), pages 28-39.
    • Handle: RePEc:eee:matcom:v:92:y:2013:i:c:p:28-39
    DOI: 10.1016/j.matcom.2013.04.017
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    Cited by:

    1. Ri, SongIl, 2020. "Fractal functions on the Sierpinski Gasket," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    2. Ri, SongIl, 2021. "A remarkable fact for the box dimensions of fractal interpolation curves of R3," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).

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