Fractal interpolation function on products of the Sierpiński gaskets

S.A. Prasad and S. Verma

Chaos, Solitons & Fractals, 2023, vol. 166, issue C

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.

Keywords: Fractal dimension; Fractal interpolation; Sierpiński gasket; Hölder continuous; Smoothness (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:166:y:2023:i:c:s0960077922011675

DOI: 10.1016/j.chaos.2022.112988

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