On the range of fractal interpolation functions

2023/11/16 by Bogdan Anghelina, Anghelina, Bogdan, Radu Miculescu +3
Mathematics · #28A80 #41A05 #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2311.09515

openalex publication_date 2023/11/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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