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Fractal interpolation function on products of the Sierpiński gaskets

Author

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  • Prasad, S.A.
  • Verma, S.

Abstract

In this paper, we aim to construct fractal interpolation functions (FIFs) on the product of two Sierpiński gaskets. Further, we collect some results regarding smoothness of the constructed FIFs. We prove, in particular, that the FIFs are Hölder functions under specific conditions. In the final section, we obtain some bounds on the fractal dimensions of FIFs.

Suggested Citation

  • Prasad, S.A. & Verma, S., 2023. "Fractal interpolation function on products of the Sierpiński gaskets," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    • Handle: RePEc:eee:chsofr:v:166:y:2023:i:c:s0960077922011675
    DOI: 10.1016/j.chaos.2022.112988
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    References listed on IDEAS

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    1. Prasad, Srijanani Anurag, 2013. "Node insertion in Coalescence Fractal Interpolation Function," Chaos, Solitons & Fractals, Elsevier, vol. 49(C), pages 16-20.
    2. Srijanani Anurag Prasad, 2021. "Super Coalescence Hidden-Variable Fractal Interpolation Functions," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(03), pages 1-9, May.
    3. XueZai Pan, 2014. "Fractional Calculus of Fractal Interpolation Function on," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-5, April.
    Full references (including those not matched with items on IDEAS)

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