Dimensional analysis of fractal interpolation functions
Dynamical Systems
2020-12-01 v1
Abstract
We provide a rigorous study on dimensions of fractal interpolation function defined on a closed and bounded interval of which is associated to a continuous function with respect to a base function, scaling functions and a partition of the interval. In particular, we provide an exact estimation of the box dimension of -fractal functions.
Cite
@article{arxiv.2011.15033,
title = {Dimensional analysis of fractal interpolation functions},
author = {S. Verma and S. Jha},
journal= {arXiv preprint arXiv:2011.15033},
year = {2020}
}
Comments
19 pages