A remarkable fact for the box dimensions of fractal interpolation curves of R3

SongIl Ri

Chaos, Solitons & Fractals, 2021, vol. 151, issue C

Abstract: In this paper, we give the fractal interpolation curves generated on the Koch curve by Hölder continuous functions and function vertical scaling factors, and at the same time, we present the estimation method of box dimensions of curves of R3 through the estimation of lower and upper box dimensions of obtained curves, where a remarkable fact is that the box dimensions are dependent not only on function vertical scaling factors but also on Hölder exponent of harmonic functions on the Koch curve.

Keywords: Iterated function system (IFS); Fractal interpolation function (FIF); Box dimension (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:151:y:2021:i:c:s0960077921005592

DOI: 10.1016/j.chaos.2021.111205

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