Zipper quintic fractal interpolation function for curve fitting

被引：0
作者：
Department of Mathematics, Chandigarh University, NH-05, Ludhiana – Chandigarh State Hwy, Gharuan, Punjab, Mohali [1 ]
140413, India
机构：
[1] Department of Mathematics, Chandigarh University, NH-05, Ludhiana – Chandigarh State Hwy, Gharuan, Punjab, Mohali
来源：
Int. J. Comput. Sci. Math. | 2024年 / 2卷 / 118-131期
关键词：
IFS; iterated function system; positivity; rational quintic fractal interpolation function; RQFIF; ZFIF; zipper; zipper fractal interpolation function;
D O I：
10.1504/IJCSM.2024.140889
中图分类号：
学科分类号：
摘要：
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). © 2024 Inderscience Enterprises Ltd.
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页码：118 / 131
页数：13
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