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New types of fractal interpolation surfaces

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  • Ri, Songil

Abstract

In this paper we present new methods to generate fractal interpolation surfaces which generalize the existing fractal interpolation surfaces. We ensure that attractors of nonlinear iterated function systems constructed by Geraghty contractions are graphs of some continuous functions which interpolate the given data. In particular, we give two explicit illustrative examples to demonstrate the effectiveness of obtained results.

Suggested Citation

  • Ri, Songil, 2019. "New types of fractal interpolation surfaces," Chaos, Solitons & Fractals, Elsevier, vol. 119(C), pages 291-297.
  • Handle: RePEc:eee:chsofr:v:119:y:2019:i:c:p:291-297
    DOI: 10.1016/j.chaos.2019.01.010
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    Cited by:

    1. Ri, SongIl, 2020. "Fractal functions on the Sierpinski Gasket," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    2. Vasileios Drakopoulos & Polychronis Manousopoulos, 2020. "On Non-Tensor Product Bivariate Fractal Interpolation Surfaces on Rectangular Grids," Mathematics, MDPI, vol. 8(4), pages 1-19, April.
    3. Dai, Zhong & Liu, Shutang, 2023. "Construction and box dimension of the composite fractal interpolation function," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    4. Petruşel, Adrian & Petruşel, Gabriela, 2019. "Coupled fractal dynamics via Meir–Keeler operators," Chaos, Solitons & Fractals, Elsevier, vol. 122(C), pages 206-212.

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