摘要
引入两个单形之间的一种新度量,使得全体n维单形集合成为一个度量空间,应用这种度量方法,证明了涉及n维单形体积、高和单形内点到侧面距离的Jani R.R.型分式不等式的稳定性,这些结论是对应的几何不等式的推广和加强.
The definition of a metric between any two n-simplexes was put forward such that the set of all n-simplexes was a metric space. By this metric method, the stability was proven on Janic R.R.type factional inequalities concerning to the volume, altitude and the distance from an interior point to the side facet for an n-simplex. These conclusions are the generalization and strengthening of corresponding geometric inequalities.
出处
《湖南文理学院学报（自然科学版）》
CAS
2008年第3期1-4,8,共5页
Journal of Hunan University of Arts and Science(Science and Technology)
基金
湖南省教育厅科研基金资助项目(00C064)
湖南省自然科学基金资助项目(06JJ1034)
关键词
稳定性
N维单形
不等式
体积
高
单形内点到侧面的距离
stability
n-simplex
inequality
volume
altitude
distance from an interior point to the side facet
