关于单形旁切球半径的一类几何不等式

摘要

Demir-Marsh inequality is an inequality about the radii of escribed circle and related altitudes of a triangle. In this paper, a generalization and an improvement of Demir-Marsh inequality in the n-dimensional Euclidean space are given.%Demir-Marsh不等式给出了三角形的旁切圆半径和其对应高之间的关系,将Demir-Marsh不等式在n维欧氏空间En中进行推广和改进.