| Cantor尘的Hausdorff测度估计 |
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| 引用本文： | 李红达,叶正麟,彭国华.Cantor尘的Hausdorff测度估计[J].计算数学,2002,24(3):265-272. |
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| 作者姓名： | 李红达 叶正麟 彭国华 |
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| 作者单位： | 1. 中国科学院研究生院信息安全国家重点实验室,北京,100039
2. 西北工业大学数学与信息科学系,西安,710072 |
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| 基金项目： | 国家自然科学基金资助项目（No.10071060）. |
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| 摘 要： | Cantor dust is a classical fractal set .It is very important to compute its Hausdorff measure.In this Paper,we obtained the expression and approximation of Hausdorff measure of Cantor dust through the analysis of interpolation function of a certain of mass distribution defined on Cantor dust.
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| 关 键 词： | 分形 Cantor尘 Hausdorff维数 Hausdorff测度估计 分形维数估计 |
| 修稿时间： | 2000年4月2日 |
THE ESTIMATION OF HAUSDORFF MEASURE OF CANTOR DUST |
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| Li Hongda.THE ESTIMATION OF HAUSDORFF MEASURE OF CANTOR DUST[J].Mathematica Numerica Sinica,2002,24(3):265-272. |
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| Authors: | Li Hongda |
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| Affiliation: | Li Hongda (State Key Lab of Information security, Graduate School of Chinese Academy of Sciences)Ye Zhenglin Peng Gouhua (Northwestern Polytechnical University, Xi'an, 710072) |
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| Abstract: | Cantor dust is a classical fractal set. It is very important to compute its Haus-dorff measure. In this paper, we obtained the expression and approximation of Hausdorff measure of Cantor dust through the analysis of interpolation function of a certain of mass distribution defined on Cantor dust. |
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| Keywords: | fractal Sierpinski carpet Hausdorff dimension and measure |
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