| K-Dimension and Holder Exponent for Bush Type Fractal Functions |
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| 引用本文： | 王宏勇. K-Dimension and Holder Exponent for Bush Type Fractal Functions[J]. 西南交通大学学报(英文版), 2006, 14(4): 400-403 |
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| 作者姓名： | 王宏勇 |
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| 作者单位： | Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210046, China |
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| 基金项目： | The National Natural Science Foundation of China （No. 10171080） |
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| 摘 要： |
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| 关 键 词： | K量纲 Bush形函数 分形函数 Holder指数 |
| 文章编号： | 1005-2429（2006）04-0400-04 |
| 收稿时间： | 2005-12-25 |
K-Dimension and H(o)lder Exponent for Bush Type Fractal Functions |
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| Wang Hongyong. K-Dimension and H(o)lder Exponent for Bush Type Fractal Functions[J]. Journal of Southwest Jiaotong University, 2006, 14(4): 400-403 |
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| Authors: | Wang Hongyong |
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| Abstract: | Bush type fractal functions were defined by means of the expression of Cantor series of real numbers. The upper and lower bound estimates for the K-dimension of such functions were given. In a typical case, the fractal dimensional relations in which the K-dimension equals the box dimension and packing dimension were presented; moreover, the exact Holder exponent were obtained for such Bush type functions. |
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| Keywords: | Bush type function Fractal function K-Dimension Holder exponent |
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