Fractal Interpolation Function On Products of the Sierpi\'nski Gaskets
Dynamical Systems
2023-01-04 v1
Abstract
In this paper, we aim to construct fractal interpolation function(FIF) on the product of two Sierpi\'nski gaskets. Further, we collect some results regarding smoothness of the constructed FIF. We prove, in particular, that the FIF are H\"older functions under specific conditions. In the final section, we obtain some bounds on the fractal dimension of FIF.
Keywords
Cite
@article{arxiv.2206.01920,
title = {Fractal Interpolation Function On Products of the Sierpi\'nski Gaskets},
author = {S. A. Prasad and S. Verma},
journal= {arXiv preprint arXiv:2206.01920},
year = {2023}
}
Comments
13 pages, Submitted to a Journal for possible publication