摘要
应用几何不等式理论与解析方法,研究欧氏空间En中n维单形的几何不等式问题,建立了关于单形与其内接单形的两个不等式,推广了已有的结果,推广了著名的n维Euler不等式。
In this paper, the theory of geometric inequalities and analytic method are emlployed to study the problems of geometric inequality for n-dimensional simplex in the Euclidean Space En. Two geometric ine- qualities for a simplex and its inscribed simplex are established, some known results and the famous n-di- mensional Euler inequality are improved.
出处
《合肥师范学院学报》
2011年第6期5-7,共3页
Journal of Hefei Normal University
基金
安徽省高校省级重点科研项目(KJ2009A45)
关键词
欧氏空间
单形
内接单形
不等式
Euclidean space
simplex
inscribed simplex
inequality
