涉及两个单形的一类不等式及其应用  

A Class of Inequalities Involving Two Simplices and Their Applications

作　　者：齐继兵[1] 杨世国[2] 

机构地区：[1]安徽大学数学与计算科学学院,安徽合肥230039 [2]安徽教育学院数学系,安徽合肥230061

出　　处：《安徽师范大学学报（自然科学版）》2007年第4期437-441,共5页Journal of Anhui Normal University(Natural Science)

基　　金：安徽省高校省级重点项目(2006KJ067A)

摘　　要：应用解析方法和几何不等式理论研究了n维欧氏空间En中涉及两个n维单形的几何不等式问题,建立了涉及两个单形及其内点的一类不等式.作为其应用,获得了n维单形与其垂足单形的体积的一类关系式,改进了关于垂足单形体积的几类几何不等式.Using analytic method and theory of geometric inequality, the problem of geometric inequality involving two simplices in E^n is discussed, and a class of inequalities involving two simplices and their interior points are established in this paper. As their applications, we can get a class of inequalities on the volumes of simplex and its pedal simplex, some known inequalities on the volumes of simplex and its pedal simplex are imnroved.

关 键 词：两个单形 内点 垂足单形 顶点角 空间角 

分 类 号：O184[理学—数学]