关于高维单形的一个不等式及应用  

An Inequality of High—dimensional Simplex and Its Applications

作　　者：马统一 

机构地区：[1]甘肃省张掖师专数学系,张掖734000

出　　处：《数学的实践与认识》2000年第4期508-512,共5页Mathematics in Practice and Theory

摘　　要：本文推广文献 [1 ]的结果 ,获得 En中关于单形的一个不等式 ( 1 ) ,并由此导出 En中面型的彭——常不等式 [5] ( 7)和涉及 n维单形 ∑A内任一点的两个几何不等式 ( 9) ,( 1 0 ) .In this paper, we establish an inequality for n\| dimensional simplex in Euclidean space E\+n, which are generalizations of a result in \. As its applications, we derive Peng\|Chang inequality for area in E\+n and two other geometric inqualities for distances between any interior point and facets of n\|dimensional simplex.

关 键 词：高维单形 不等式 推广 应用 外接球半径 内切球半径 几何不等式 

分 类 号：O184[理学—数学]