关于内接单形几个几何不等式及应用  

Application and Generalization of some Geometric Inequalities for Inscribed Simplex

作　　者：余静[1] 

机构地区：[1]合肥师范学院数学系,安徽合肥230061

出　　处：《合肥师范学院学报》2011年第6期5-7,共3页Journal of Hefei Normal University

基　　金：安徽省高校省级重点科研项目(KJ2009A45)

摘　　要：应用几何不等式理论与解析方法,研究欧氏空间En中n维单形的几何不等式问题,建立了关于单形与其内接单形的两个不等式,推广了已有的结果,推广了著名的n维Euler不等式。In this paper, the theory of geometric inequalities and analytic method are emlployed to study the problems of geometric inequality for n-dimensional simplex in the Euclidean Space En. Two geometric ine- qualities for a simplex and its inscribed simplex are established, some known results and the famous n-di- mensional Euler inequality are improved.

关 键 词：欧氏空间 单形 内接单形 不等式 

分 类 号：O184[理学—数学]