| 关于n维Pedoe不等式的加强与推广 |
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| 引用本文： | 陈士龙,杨世国.关于n维Pedoe不等式的加强与推广[J].山东理工大学学报,2007,21(3):43-45. |
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| 作者姓名： | 陈士龙 杨世国 |
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| 作者单位： | 安徽广播影视职业技术学院，安徽教育学院数学系 安徽合肥230022，安徽大学数学与计算科学学院，安徽合肥230039，安徽合肥230061 |
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| 基金项目： | 安徽省科研项目;安徽省高校省级项目 |
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| 摘 要： | 利用几何不等式的理论和解析的方法,研究了n维欧氏空间中的Pedoe不等式,建立了两种形式的n维Pedoe不等式,推广了已有的结果.
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| 关 键 词： | 单形 外接球半径 内切球半径 pedoe不等式 |
| 文章编号： | 1672-6197（2007）05-0043-03 |
| 修稿时间： | 2006-11-17 |
Generalizations of n-dimensional pedoe inequality |
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| CHEN Shi-long,YANG Shi-guo.Generalizations of n-dimensional pedoe inequality[J].Journal of Shandong University of Technology:Science and Technology,2007,21(3):43-45. |
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| Authors: | CHEN Shi-long YANG Shi-guo |
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| Institution: | 1. Anhui Broadcasting Movie and Television College, Hefei 230022, China; 2. School of Mathematics and Computational Science, Anhui University, Hefei 230039, China 3. Department of Mathematics, Anhui Institute of Education, Hefei 230061, China |
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| Abstract: | In this paper,by using analytic method and theory of geometric inequalities,n-dimensional Pedoe inequality was studied.Two forms of the n-dimensional Pedoe inequality were obtained and they generalized the known results. |
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| Keywords: | simplex circumradins inradrus pedoe inequality |
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