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arXiv · 2311.09515

On the range of fractal interpolation functions

Bogdan Anghelina·Radu Miculescu·María Antonia Navascués
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Abstract

In this paper, based on the results from [On the localization of Hutchinson-Barnsley fractals, Chaos Solitons Fractals, 173 (2023), 113674], we generate coverings (consisting of finite families of rhombi) of the graph of fractal interpolation functions. As a by-product we obtain estimations for the range of such functions. Some concrete examples and graphical representations are provided.

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Bogdan Anghelina, Radu Miculescu, María Antonia Navascués. 2023-11-16. On the range of fractal interpolation functions. https://arxiv.org/abs/2311.09515

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