Title: Zipper quintic fractal interpolation function for curve fitting

Authors: Sneha; Kuldip Katiyar

Addresses: Department of Mathematics, Chandigarh University, NH-05, Ludhiana – Chandigarh State Hwy, Gharuan, Mohali, 140413, Punjab, India ' Department of Mathematics, Chandigarh University, NH-05, Ludhiana – Chandigarh State Hwy, Gharuan, Mohali, 140413, Punjab, India

Abstract: In this paper, we introduce a class of novel C² -zipper rational quintic fractal interpolation functions (Zipper-RQFIF) with variable scalings in the form of a rational type that has a quintic polynomial in the numerator and a quadratic polynomial in the denominator with three shape control parameters. We restrict the scaling functions and shape control parameters so that the proposed Zipper-RQFIF is positive when the given dataset is positive. Using this sufficient condition, some numerical examples of positive Zipper-RQFIF are presented to support our theory. This paper approaches the zipper rational quintic fractal interpolation problem as a generalisation of both quintic fractal and affine zipper fractal interpolants, which show more versatility and flexibility than classical and fractal interpolation functions (FIFs).

Keywords: zipper; ZFIF; zipper fractal interpolation function; positivity; RQFIF; rational quintic fractal interpolation function; IFS; iterated function system.

DOI: 10.1504/IJCSM.2024.140889

International Journal of Computing Science and Mathematics, 2024 Vol.20 No.2, pp.118 - 131

Received: 17 Jun 2022
Accepted: 27 Jul 2023
Published online: 03 Sep 2024 *

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