关于2n+1分Cantor集构造的一个基本性质及其应用

摘要

By means of generalizing one property of Cantor sets to Cantor-2n+ 1 (n ∈ N) fractal sets and applying it to calculate the Hausdorff measure of Cantor-2n+1 fractal sets conveniently,a new method of calculating Hausdorff measure of the class of generalized Cantor sets was presented. At last, the other application of this method was introduced.%将三分Cantor集构造的一个基本性质推广到2n+1(n∈N)分Cantor集,并用它简便计算出2n+1分Cantor 集的Hausdorff测度,给出了计算此类广义Cantor集Hausdorff测度的一种新方法.最后介绍了此方法在其他方面的应用.