n维Euler不等式的推广

Generalization of n-Dimensional Euler Inequality

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.