Shape Preserving Zipper Hidden Variable Fractal Interpolation Function
Dynamical Systems
2026-04-14 v1
Abstract
In this paper, we study a new class of zipper fractal interpolation functions (ZFIFs) constructed using a zipper hidden variable iterated function system (ZHVIFS). ZFIFs have more diverse shape than usual fractal interpolation functions, and the hidden variable iterated function system is more general than the iterated function system. Firstly, we introduce a ZHVIFS and construct univariate ZFIFs using the ZHVIFS. Next, we find the conditions on vertical scaling factors for the ZFIFs to preserve boundedness, positivity and piecewise slop of the data set, which are demonstrated through examples.
Keywords
Cite
@article{arxiv.2604.09699,
title = {Shape Preserving Zipper Hidden Variable Fractal Interpolation Function},
author = {Chol Hui Yun and Yu Jong Pak and Mi Gyong Ri and Kyong Ju Ri},
journal= {arXiv preprint arXiv:2604.09699},
year = {2026}
}