Box dimension and fractional integral of linear fractal interpolation functions |
| |
| Authors: | Huo-Jun Ruan Wei-Yi Su Kui Yao |
| |
| Affiliation: | aDepartment of Mathematics, Zhejiang University, Hangzhou, 310027, China;bDepartment of Mathematics, Nanjing University, Nanjing, 210093, China;cDepartment of Mathematics, Nanjing Normal University, Nanjing, 210097, China |
| |
| 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. |
| |
| Keywords: | Fractal interpolation functions Box dimension Fractional integral |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
