| 欧氏空间中n维Pedoe不等式的推广及应用 |
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| 引用本文： | 杨世国,王文.欧氏空间中n维Pedoe不等式的推广及应用[J].吉林大学学报(理学版),2011,49(3):405-408. |
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| 作者姓名： | 杨世国 王文 |
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| 作者单位： | 1. 合肥师范学院 数学系, 合肥 230061,2. 安徽大学 数学科学学院, 合肥 230039 |
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| 基金项目： | 安徽省高校重点科研项目 |
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| 摘 要： | 利用距离几何的理论与方法, 研究欧氏空间En中两个n维单形的棱长与体积的几何不等式, 建立了n维单形两种加强形式的彭常不等式, 从而推广了En中n维Pedoe不等式.
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| 关 键 词： | 欧氏空间 单形 体积 棱长 不等式 |
| 收稿时间： | 2010-06-29 |
Generlization of n-Dimsensional Pedoe Inequalities in Euclidean Space and Application |
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| YANG Shi-guo,WANG Wen.Generlization of n-Dimsensional Pedoe Inequalities in Euclidean Space and Application[J].Journal of Jilin University: Sci Ed,2011,49(3):405-408. |
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| Authors: | YANG Shi-guo WANG Wen |
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| Institution: | 1. Department of Mathematical, Hefei Teachers College, Hefei 230061, China;2. School of Mathematical Sciences, Anhui University, Hefei 230039, China |
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| Abstract: | The theory and method of distance geometry were used tostudy the problems of geometric inequalities for the edge length and volumeof two n dimensional simplexes in the Euclidean space En. Two forms of the improved n dimensional Peng Chang inequalities were established. From these we obtained the generalization of n dimensional Pedoe inequalities in the Euclidean space En. |
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| Keywords: | Euclidean space simplex volume edge length inequality |
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