Article ID Journal Published Year Pages File Type
4607855 Journal of Approximation Theory 2009 11 Pages PDF
Abstract

In this paper, we present a new method to calculate the box dimension of a graph of continuous functions. Using this method, we obtain the box dimension formula for linear fractal interpolation functions (FIFs). Furthermore we prove that the fractional integral of a linear FIF is also a linear FIF and in some cases, there exists a linear relationship between the order of fractional integral and box dimension of two linear FIFs.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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