E^n中一个几何不等式的推广  

Generalizations of a Geometric Inequality in E^n

作　　者：杨世国[1] 

机构地区：[1]安徽教育学院数学系,安徽合肥230061

出　　处：《安徽教育学院学报》2004年第6期1-2,15,共3页Journal of Anhui Institute of Education

基　　金：安徽省教育厅自然科学研究项目(2004kj104)

摘　　要：应用解析方法与几何不等式理论研究了En中n维单形内点的几何不等式问题,给出了单形Gerber不等式和n维Euler不等的推广。Using analytic method and theory of geometric inequality, the problem of geometric inequality for an interior point of an n-dimensional simplex in E^n is discussed, and some generalizations of Gerber's inequality and the n-dimensional Euler inequality are obtatined.

关 键 词：单形 内点 体积 距离 

分 类 号：O184[理学—数学]