On the range of fractal interpolation functions

Bogdan Anghelina,Radu Miculescu,María Antonia Navascués

arXiv (Cornell University)（2023）

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摘要

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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