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Fractal functions on the Sierpinski Gasket

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  • Ri, SongIl

Abstract

In this paper, we ensure for the first time that graphs of fractal interpolation functions generated on the Sierpinski Gasket by nonconstant harmonic functions of fractal analysis are attractors of some iterated function systems, and at the same time, we give new nonlinear fractal interpolation functions.

Suggested Citation

  • Ri, SongIl, 2020. "Fractal functions on the Sierpinski Gasket," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    • Handle: RePEc:eee:chsofr:v:138:y:2020:i:c:s0960077920305385
    DOI: 10.1016/j.chaos.2020.110142
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    References listed on IDEAS

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    1. 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.
    2. Ri, Songil, 2019. "New types of fractal interpolation surfaces," Chaos, Solitons & Fractals, Elsevier, vol. 119(C), pages 291-297.
    3. Tang, Donglei, 2011. "The Laplacian on p.c.f. self-similar sets via the method of averages," Chaos, Solitons & Fractals, Elsevier, vol. 44(7), pages 538-547.
    4. Ri, SongIl, 2019. "DUPLICATE: New types of fractal interpolation surfaces," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 52-58.
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    Cited by:

    1. 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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