Fractal Interpolation Function On Products of the Sierpiński Gaskets
arXiv:2206.01920 · doi:10.1016/j.chaos.2022.112988
Abstract
In this paper, we aim to construct fractal interpolation function(FIF) on the product of two Sierpiński gaskets. Further, we collect some results regarding smoothness of the constructed FIF. We prove, in particular, that the FIF are Hölder functions under specific conditions. In the final section, we obtain some bounds on the fractal dimension of FIF.
arXiv comment13 pages, Submitted to a Journal for possible publication