关于单形稳定性几个不等式的推广

Stability of Some Geometric Inequalities for a Simplex

本文研究了En中n维单形的稳定性,在总结已有结论的基础上,对单形的稳定性进行了推广,同时也给出了单形几何不等式的新的稳定性版本,改进了已有的结论。

Using the distance theory and method of geometry inequality to study the problem of stability, which is some geometric inequalities for an n-dimensional simplex in the Euclidean space. From the deviation regular metric of two simplexes, we proved throe important geometric inequalities for an n-dimensional simplex are all stable, gave the stability versions of these geometric inequalities for a simplex and improved throe well-known results.