关于n维单形体积的几何不等式  

Some geometric inequalities for volumes of sn-simplexes

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：《沈阳工业大学学报》2003年第4期354-356,共3页Journal of Shenyang University of Technology

基　　金：安徽省教育厅科研基金资助项目(2003kj080);安徽省学术技术带头人后备人选科研资助项目(2002HBL30)

摘　　要：利用几何不等式的理论与方法研究n维单形与其旁心生成的单形体积之间关系,将二维Klamkin不等式向高维推广,建立了n维欧氏空间En中n维单形体积的一类几何不等式,从而获得了n维情形的Klamkin不等式.In this paper, the relation between volumes of a ndimensional simplex and its escenters simplex by the theory and method of geometric inequalities are studied. 2dimensional Klamkin's inequality is extended to higherdimensional case. Some geometric inequalities for nsimplexes in E\+n are established, and the ndimensional Klamkin inequality is obtained.

关 键 词：单形 体积 旁心 不等式 

分 类 号：O184[理学—数学]