N维单形中张—杨不等式的稳定性及应用  

Stability on the Zhang-Yang Inequality of an N-Simplex with Application

作　　者：张垚[1] 

机构地区：[1]湖南师范大学数学与计算机科学学院,湖南长沙410081

出　　处：《湖南文理学院学报（自然科学版）》2007年第2期12-15,共4页Journal of Hunan University of Arts and Science(Science and Technology)

基　　金：湖南省教育厅科研基金资助项目(00C064);湖南省自然科学基金资助项目(06JJ1034)

摘　　要：首先定义了任意两个n维单形之间的一种度量,使得全体n维单形集合成为一个度量空间,在此基础上证明了n维单形中张-杨不等的稳定性.给出了涉及单形的体积,内切圆半径和高的不等式的稳定性.The definition of a metric between any two nsimplexes was given such that the set of all n-simplexes was a metric space, The stability on Zhang-Yang inequality concerning volumes for an n-simplex and its （n-1）-dimensional side facet was proved, Moreover, the stability on several inequalities concerning the volume, inradius and height for an n-simplex also were proved.

关 键 词：稳定性 N维单形 体积 张-杨不等式 

分 类 号：O184[理学—数学]