Construction and box dimension of the composite fractal interpolation function

Zhong Dai and Shutang Liu

Chaos, Solitons & Fractals, 2023, vol. 169, issue C

Abstract: In this paper, we construct the composite fractal interpolation function and prove that the compositeness of two general fractal interpolation functions is still a fractal interpolation function. And its generating iterated function system is obtained from given iterated function systems. Finally, the box dimension of the composite fractal interpolation function is discussed. We give an inequality estimate of the upper and lower box dimensions of the composite fractal interpolation function.

Keywords: Fractals; Composite fractal interpolation functions; Box dimension (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:169:y:2023:i:c:s096007792300156x

DOI: 10.1016/j.chaos.2023.113255

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