S. Verma, S. Jha
Published 2020-11-30Version 1
We provide a rigorous study on dimensions of fractal interpolation function defined on a closed and bounded interval of $\mathbb{R}$ 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 $\alpha$-fractal functions.
Non-stationary $α$-fractal functions and their dimensions in various function spaces
Wavelet transform of Fractal Interpolation Function
On the dimension of $αβ$-sets
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