On the Fractal interpolation functions associated with Matkowski contractions-Reference-Cited by-同舟云学术

On the Fractal interpolation functions associated with Matkowski contractions

Published:2023 Issue:8 Volume:31 Page:4652-4668
ISSN:2688-1594
Container-title:Electronic Research Archive
language:
Short-container-title:era

Author:

Attia Najmeddine¹,balegh Mohamed²,Amami Rim³,Amami Rimah⁴

Affiliation:

1. Department of Mathematics and Statistics, College of Science, King Faisal University, Al-Ahsa 31982, Saudi Arabia

2. Department of Mathematics, College of Science and Arts, Muhayil, King Khalid University, Abha 61413, Saudi Arabia

3. Department of Basic Sciences, Deanship of Preparatory Year and Supporting Studies, Imam Abdulrahman Bin Faisal University, Dammam 34212, Saudi Arabia

4. Computer Department, Deanship of Preparatory Year and Supporting Studies, Imam Abdulrahman Bin Faisal University, Dammam 34212, Saudi Arabia

Abstract

<abstract><p>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 $.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference42 articles.

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