欧氏空间中n维Pedoe不等式的推广及应用  

Generlization of n-Dimsensional Pedoe Inequalities in Euclidean Space and Application

作　　者：杨世国[1] 王文[2] 

机构地区：[1]合肥师范学院数学系,合肥230061 [2]安徽大学数学科学学院,合肥230039

出　　处：《吉林大学学报（理学版）》2011年第3期405-408,共4页Journal of Jilin University:Science Edition

基　　金：安徽省高校重点科研项目(批准号:KJ2009A45)

摘　　要：利用距离几何的理论与方法,研究欧氏空间En中两个n维单形的棱长与体积的几何不等式,建立了n维单形两种加强形式的彭-常不等式,从而推广了En中n维Pedoe不等式.The theory and method of distance geometry were used to study the problems of geometric inequalities for the edge-length and volume of two n-dimensional simplexes in the Euclidean space En.Two forms of the improved n-dimensional Peng-Chang inequalities were established.From these we obtained the generalization of n-dimensional Pedoe inequalities in the Euclidean space En.

关 键 词：欧氏空间 单形 体积 棱长 不等式 

分 类 号：O184[理学—数学]