关于单形稳定性几个不等式的推广  

Stability of Some Geometric Inequalities for a Simplex

作　　者：陈士龙[1] 

机构地区：[1]安徽大学艺术与传媒学院,安徽合肥230011

出　　处：《安庆师范学院学报（自然科学版）》2014年第3期4-6,共3页Journal of Anqing Teachers College(Natural Science Edition)

基　　金：安徽省高校省级自然科学研究课题(KJ2013B043)资助

摘　　要：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.

关 键 词：n维欧氏空间E^n 稳定性 单形 内切球半径 外接球半径 

分 类 号：O178[理学—数学]