E^n中n维Euler不等式的改进

The Improvement of n-Dimentional Euler Inequality

应用几何不等式理论和解析的方法,研究了n维欧式空间中n维单形的外接球半径和内切球半径之间的联系,在原有不等式的基础上,建立了一个涉及单形外接球半径和内切球半径之间关系的几何不等式,进一步改进了n维Eu ler不等式.

Using geometric theory and analytical method,the relationship between circumradius and inradius is studied in En.Based on primary inequality,a new geometric inequality of n-dimensional Euler inequality between circumradius and inradius is set up,and the n-dimentional Euler inequality is further improved.