@article{Attia2023, 
author = {Najmeddine Attia and Mohamed balegh and Rim Amami and Rimah Amami},
title = {On the Fractal interpolation functions associated with Matkowski contractions},
year = {2023},
journal = {Electronic Research Archive},
volume = {31},
number = {8},
pages = {4652-4668},
keywords = {fractal interpolation function, iterated function system, generalized iterated function system, Matkowski contraction, Banach contraction},
url = {https://www.sciopen.com/article/10.3934/era.2023238},
doi = {10.3934/era.2023238},
abstract = {In this paper we investigate an iterated function system that defines a fractal interpolation function, where ordinate scaling, that is Lipschitz constant in Banach contraction principle is substituted by real-valued control function. In such a manner, fractal interpolation functions associated with Matkowski contractions are obtained and provide a new framework of approximating experimental data. Furthermore, given a data generating function    f, we study a new class of fractal interpolation functions which converge to    f.}
}