TY - JOUR
T1 - On the Fractal interpolation functions associated with Matkowski contractions
AU - Attia, Najmeddine
AU - balegh, Mohamed
AU - Amami, Rim
AU - Amami, Rimah
N1 - Publisher Copyright:
© 2023 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
PY - 2023
Y1 - 2023
N2 - 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.
AB - 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.
KW - Banach contraction
KW - fractal interpolation function
KW - generalized iterated function system
KW - iterated function system
KW - Matkowski contraction
UR - https://www.scopus.com/pages/publications/85167921428
U2 - 10.3934/ERA.2023238
DO - 10.3934/ERA.2023238
M3 - Article
AN - SCOPUS:85167921428
SN - 2688-1594
VL - 31
SP - 4652
EP - 4668
JO - Electronic Research Archive
JF - Electronic Research Archive
IS - 8
ER -