M.S.Klamkin不等式的再推广  

Further Improvement of M.S.Klamkin Inequality

作　　者：齐继兵[1] 杨世国[2] 

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

出　　处：《太原科技大学学报》2007年第6期471-475,共5页Journal of Taiyuan University of Science and Technology

基　　金：安徽省高校重点项目(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n维单形Ωn的外接球半径及Ωn中内点之间的几何不等式问题,建立了涉及单形Ωn的外接球半径以及Ωn中内点到各侧面距离之间的几何不等式,作为其应用,进一步改进了著名的M.S.Klamkin不等式。Using analytic method and theory of geometric inequality, we study concerning n -dimensional simplex and its interior point in. Some geometric in the problem of geometric inequalities equalities for the circumradius of and distance of its interior point to side faces are estabished, which improve Klamkin inequality in the space as application.

关 键 词：单形 外接球半径 内点 KLAMKIN不等式 

分 类 号：O184[理学—数学]