摘要
应用解析方法和几何不等式理论研究了n维欧氏空间En中涉及两个n维单形的几何不等式问题,建立了涉及两个单形的一类三角不等式.作为其应用,获得了涉及两个单形及其内点的几何不等式,特别,获得了n维单形与其垂足单形的体积的一类关系式,改进了关于垂足单形体积的几类几何不等式.
Using analytic method and theory of geometric inequality, the problem of geometric inequality involving two simplices in E^n is discussed, and a class of triangle inequalities involving two simplices and their interior points are established in this paper. As their applications, we can get a class of inequalities involving two simplices and their interior points. Specially, we get a class of inequalities on the volumes of simplex and its pedal simplex, some known inequalities on the volumes of simplex and its pedal simplex are improved.
出处
《数学的实践与认识》
CSCD
北大核心
2008年第22期175-180,共6页
Mathematics in Practice and Theory
基金
安徽省高等学校省级自然科学研究项目(KJ2008B54ZC)
安徽省高校省级重点项目(2006KJ067A)
关键词
垂足单形
内点
顶点角
空间角
不等式
pedal simplex
interior point
vertex angle
space angle
inequality
