Approximation by the linear fractal interpolation functions with the same fractal dimension

被引：0
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作者：
Y. S. Liang
机构：
[1] Nanjing University of Science and Technology,School of Mathematics and Statistics
来源：
The European Physical Journal Special Topics | 2023年 / 232卷
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摘要：
A continuous function defined on a closed interval can be of unbounded variation with certain fractal dimension. Fractal interpolation functions are often used to approximate such functions whose structure seem self affine. In the present paper, a continuous function with non-integer Box dimension has been approximated by certain linear fractal interpolation functions. Both the original function and the linear fractal interpolation functions have the same Box dimension. The interpolation approximation of integer dimensional continuous functions has also been discussed elementary.
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页码：1071 / 1076
页数：5
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