Construction and Box-counting Dimension of the Edelstein Hidden Variable Fractal Interpolation Function
Dynamical Systems
2026-01-23 v1
Abstract
This paper presents the construction of a hidden variable fractal interpolation function using Edelstein contractions in an iterated function system based on a finite collection of data points. The approach incorporates an iterated function system where variable functions act as vertical scaling factors leading to a generalised vector-valued fractal interpolation function. Furthermore, the paper rigorously examines the smoothness of the constructed function and establishes an upper bound for the box-counting dimension of its graph.
Keywords
Cite
@article{arxiv.2601.15658,
title = {Construction and Box-counting Dimension of the Edelstein Hidden Variable Fractal Interpolation Function},
author = {Aiswarya T and Srijanani Anurag Prasad},
journal= {arXiv preprint arXiv:2601.15658},
year = {2026}
}