Fractal functions on the Sierpinski Gasket

SongIl Ri

Chaos, Solitons & Fractals, 2020, vol. 138, issue C

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.

Keywords: Fractal interpolation function (FIF); Sierpinski Gasket (SG); Hölder continuity (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:138:y:2020:i:c:s0960077920305385

DOI: 10.1016/j.chaos.2020.110142

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