3 papers
math.DS2023
On the range of fractal interpolation functions
Bogdan Anghelina, Radu Miculescu, María Antonia Navascués
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 fi…
math.CA2018
Fractal Convolution: A New Operation between Functions
M. A. Navascués, P. Massopust
In this paper we define an internal binary operation between functions called in the text \emph{fractal convolution}, that applies a pair of mappings into a fractal function. This…
math.DS2015
A Fractal Operator on Some Standard Spaces of Functions
P. Viswanathan, M. A. Navascues
By appropriate choices of elements in the underlying iterated function system, methodology of fractal interpolation entitles one to associate a family of continuous self-referentia…