Journal of Engineering and Applied Sciences

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A Method of the Best Approximation by Fractal Function

O. Thae Gun, Kang Yong Suk and Rim Myong Gil
Page: 1496-1502 | Received 21 Sep 2022, Published online: 21 Sep 2022

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Abstract

We present a method constructing a function which is the best approximation for given data and satisfies the given self-similar condition. For this, we construct a space F of local self-similar fractal functions and show its properties. Next we present a computational scheme constructing the best fractal approximation in this space and estimate an error of the constructed fractal approximation. Our best fractal approximation is a fixed point of some fractal interpolation function.

How to cite this article:

O. Thae Gun, Kang Yong Suk and Rim Myong Gil. A Method of the Best Approximation by Fractal Function.
DOI: https://doi.org/10.36478/jeasci.2017.1496.1502
URL: https://www.makhillpublications.co/view-article/1816-949x/jeasci.2017.1496.1502