Cantor尘的Hausdorff测度估计  

THE ESTIMATION OF HAUSDORFF MEASURE OF CANTOR DUST

作　　者：李红达[1] 叶正麟[2] 彭国华[2] 

机构地区：[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

出　　处：《计算数学》2002年第3期265-272,共8页Mathematica Numerica Sinica

基　　金：国家自然科学基金资助项目(No.10071060).

摘　　要：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 ofHausdorff measure of Cantor dust through the analysis of interpolation function ofa certain of mass distribution defined on Cantor dust.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.

关 键 词：分形 CANTOR尘 HAUSDORFF维数 Hausdorff测度估计 分形维数估计 

分 类 号：O189.12[理学—数学]