关于Veljan-Korchmaros不等式的改进  

Improvement of Veljan-Korchmaros Inequality

作　　者：马统一[1] 

机构地区：[1]河西学院数学系,甘肃张掖734000

出　　处：《数学的实践与认识》2007年第13期173-179,共7页Mathematics in Practice and Theory

基　　金：国家自然科学基金资助项目(10271071)

摘　　要：利用距离几何理论和数学归纳法相结合的方法,证明和改进了著名的Veljan-Korchmaros不等式,得到了三个更强的结果.并应用它推广了n维Euler不等式.We establish three inequalities involving a n-dimensional simplex in Euclidean space E^＊ by using the theory of distance geometry and mathematical induction, which are improved of the well-known Veljan-Korchmmaros inequality. Applying it, then-dimensionl Euler inequality is improved.

关 键 词：N维欧氏空间 单形 体积 棱长 超球半径 Veljan-Korchmaros不等式 

分 类 号：O178[理学—数学]