摘要
将三分Cantor集构造的一个性质推广到中间λCantor集,并用它简便计算出中间λCantor集的Hausdorff测度,给出了此类广义Cantor集Hausdorff测度计算的一种新方法.该方法比其它方法更为初等而易于计算,为计算其它分形集的Hausdorff测度提供了一种思路.
By means of generalizing one property of Cantor sets to middle A Cantor Sets and applying it to calculate the Hausdorff measure of middle A Cantor Sets , this paper presented a new method of calculating Hausdorff measure of the class of generalized Cantor sets. Compared with other methods, this method can be more conveniently calculated with elementary knowledge, throwing light on the calculation of ttausdorff measure of other Cantor sets.
出处
《佳木斯大学学报(自然科学版)》
CAS
2010年第3期464-465,共2页
Journal of Jiamusi University:Natural Science Edition
基金
咸宁学院科研资助项目(ky09060)