n维Euler不等式的推广  

Generalization of n-Dimensional Euler Inequality

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：《河南科技大学学报（自然科学版）》2004年第3期92-95,共4页Journal of Henan University of Science And Technology:Natural Science

基　　金：安徽省跨世纪学术带头人选科研基金资助项目(2002HBL30)

摘　　要：利用几何不等式理论与解析方法,研究了n维欧氏空间En中n维单形外接球半径与内切球半径之间的关系,推广了n维Euler不等式和Veljan Korchmaros不等式,建立了单形的两个更强的不等式。By using the theory of geometric inequalities and analytic method,the relationship between the circumradius and inradius of an n-dimensional simplex in the n-dimensional Euclidean space E^n was studied.The n-dimensional Euler inequality and Veljan-Korchmaros inequality were generalized, and two stronger inequalities were established.

关 键 词：EULER不等式 几何不等式 单形外接球 组合不等式 欧几里德空问 

分 类 号：O178[理学—数学] O184[理学—基础数学]