Fractal interpolation over nonlinear partitions

Peter R. Massopust

Chaos, Solitons & Fractals, 2022, vol. 162, issue C

Abstract: This paper introduces the fractal interpolation problem defined over domains with a nonlinear partition. This setting generalizes known methodologies regarding fractal functions and provides a new holistic approach to fractal interpolation. In this context, perturbations of nonlinear partition functions are considered and sufficient conditions for the existence of a unique solution of the underlying fractal interpolation problem for some classes of function spaces are given.

Keywords: Iterated function system (IFS); Attractor; Fractal interpolation; Read-Bajraktarević operator; Fractal function; Perturbation; Lebesgue–Bochner space (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:162:y:2022:i:c:s0960077922007081

DOI: 10.1016/j.chaos.2022.112503

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