一类广义Cantor集Hausdorff维数与测度的近似估计

APPROXIMATE ESTIMATION OF GENERALIZED CANTOR SET HAUSDORFF DIMENSION AND MEASURE

作者对三分Cantor集进行了适当的推广，从而构造出了一类广义Cantor集，此外作者还给出了计算此类Cantor集Hausdorff维数与测度的几种新颖的方法．从而为计算其它类型分形集合的Hausdorff维数与测度提供若干种有效的思路与可行的方法．

The appropriate extension of the Three Cantor set is made so that the authors construct a class of generalized Cantor set. In addition, the authors also give several novel methods of calculating such Cantor set Hausdorff dimension and measure. So the author can offer some kinds of effective ideas and feasible methods for the calculation of Hausdorff dimension and measure of other types of fraetal set.