Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4607855 | Journal of Approximation Theory | 2009 | 11 Pages |
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
Huo-Jun Ruan, Wei-Yi Su, Kui Yao,