Eur. Phys. J. Spec. Top. (2021) 230: 3765-3779
https://doi.org/10.1140/epjs/s11734-021-00306-7

Regular Article

Affine recurrent fractal interpolation functions

Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, 632014, Vellore, Tamil Nadu, India

Received: 1 July 2021
Accepted: 25 October 2021
Published online: 5 November 2021

Abstract

In this article, affine recurrent fractal interpolation function is constructed and its convergence analysis is established to understand the approximation properties. Besides, the existence of optimal recurrent fractal interpolation function for given continuous function is discussed. Further, shape preserving aspects of the recurrent fractal interpolation function are investigated by imposing the necessary conditions on the vertical scaling factors. Numerical examples are explored which support the theoretical results.