English

On the range of fractal interpolation functions

Dynamical Systems 2023-11-17 v1

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.

Keywords

Cite

@article{arxiv.2311.09515,
  title  = {On the range of fractal interpolation functions},
  author = {Bogdan Anghelina and Radu Miculescu and María Antonia Navascués},
  journal= {arXiv preprint arXiv:2311.09515},
  year   = {2023}
}

Comments

24 pages, 15 figures