摘要
本文研究了涉及四个单形的一类不等式问题.利用距离几何的理论和方法获得了两个单形的棱长与另两个单形的内点、中线、高、外接超球半径、内切超球半径、旁切超球半径以及n-1维侧面的体积、外接超球半径、内切超球半径的一类新的几何不等式.推广了文献([5])中的全部结果.
In this paper, we study a class of inequality involving four simplexes. By using the theory and method of distance geometry, we obtain a new class of geometric inequality between the length of the edges of two simplexes and the interior point, center line, height, the circumradius, inradius, sideradius of the other two simplexes and（n- 1）-dimensional volume, the circumradius and inradius, which extend the results in [5].
出处
《数学杂志》
CSCD
北大核心
2016年第2期375-384,共10页
Journal of Mathematics
关键词
单形
棱长
内点
几何不等式
simplex
the length of edges
interior point
geometric inequality
