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arXiv · 2011.15033

Dimensional analysis of fractal interpolation functions

S. Verma·S. Jha
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Abstract

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.

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S. Verma, S. Jha. 2020-11-30. Dimensional analysis of fractal interpolation functions. https://arxiv.org/abs/2011.15033

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