广义Sierpinski垫片及其推广形式的Hausdorff上测度的探究

A Study on the Hausdorff Upper Measure of Generalized Sierpinski Gasket and Its Extended Form

自相似分形集有很多种,其中有很多种自相似分形集的Hausdorff上测度很难求出,即使可以求出也很难得到较为近似度高的值,文章试图探究广义Sierpinski垫片上测度的求解方法,并用此方法估计它的Hausdorff上测度的更精确近似值。最后再将广义Sierpinski垫片试着进一步推广并探究其上测度。

There are many kinds of self similar fractal sets,of which there are many kinds of self similar fractal sets on measure is very difficult to achieve,even if can find it is hard to find the relatively high degree of approximation value,this article attempts to explore the method for solving the generalized Sierpinski gasket the Hausdorff upper measure,this method is used to estimate the Hausdorff upper measure more accurate approximation.Finally,the generalized Sierpinski gasket try to further promote and explore its Hausdorff upper measure.