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.
出处
《数学的实践与认识》
CSCD
北大核心
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)