| n维欧氏空间E~n中Child不等式的推广 |
| |
| 引用本文： | 陈士龙,杨世国.n维欧氏空间E~n中Child不等式的推广[J].大学数学,2009,25(1). |
| |
| 作者姓名： | 陈士龙 杨世国 |
| |
| 作者单位： | 1. 安徽广播影视职业技术学院,合肥,230022
2. 安徽教育学院,数学系,合肥,230061 |
| |
| 基金项目： | 安徽省高校省级重点项目 |
| |
| 摘 要： | 利用几何不等式理论与解析方法,研究了n维欧氏空间En中n维单形的内点到各顶点的距离与到各侧面距离之间的关系,获得相关的几个几何不等式,推广了Child不等式.
|
| 关 键 词： | 单形 内顶角 体积 棱长 |
Extensions of Child Inequality for n-dimensional Simplex in E~n |
| |
| CHEN Shi-long,YANG Shi-guo.Extensions of Child Inequality for n-dimensional Simplex in E~n[J].College Mathematics,2009,25(1). |
| |
| Authors: | CHEN Shi-long YANG Shi-guo |
| |
| Institution: | 1.Anhui broadcast movie and television college;Hefei 230022;China;2.Dept.of Math.;Anhui Institute of Education;Hefei 230061;China |
| |
| Abstract: | Using analytic method and theory of geometric inequalities,The problem about geometric inequalities for an interior point of a simplex was given.A class of geometric inequalities for an interior point of a simplex are established.The n-dimensional Child inequality was improved. |
| |
| Keywords: | simplex interior point volume inequality |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
