Construction and Box-counting Dimension of the Edelstein Hidden Variable Fractal Interpolation Function
Year: 2026
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: T, Aiswarya, Prasad, Srijanani Anurag
Institution: Indian Institute of Technology Tirupati
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7125515805
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