| n维欧氏空间En中Child不等式的推广 |
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| 引用本文： | 陈士龙,杨世国.n维欧氏空间En中Child不等式的推广[J].工科数学,2009(1):80-83. |
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| 作者姓名： | 陈士龙 杨世国 |
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| 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 |
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| 基金项目： | [基金项目]安徽省高校省级重点项目（2006KJ067A） |
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| 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．
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| 关 键 词： | 单形 内顶角 体积 棱长 |
Extensions of Child Inequality for n-dimensional Simplex in En |
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| CHEN Shi-long,YANG Shi-guo.Extensions of Child Inequality for n-dimensional Simplex in En[J].Journal of Mathematics For Technology,2009(1):80-83. |
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| Authors: | CHEN Shi-long YANG Shi-guo |
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| Institution: | 1. Anhui broadcast movie and television college, Hefei 230022, China; 2. Dept. of Math. , Anhui Institute of Education, Hefei 230061, China) |
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| 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. |
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| Keywords: | simplex interior point volume inequality |
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