一个高维几何不等式的推广及其应用

Generalizations of a Higher-dimensional Geometric Ineguality with Applications

应用解析方法与几何不等式理论研究了En中n维单形内点的几何不等式问题,给出了单形 Gerber不等式和n维Euler不等式的推广.

Using analytic method and theory of geometric inequality, the problem of geometric ineguality for an interior point of an n - dimensional simples in E' is discussed, and some generalizations of Gerber' s inequality and the n - dimensional Euler ineguality are got.