| 关于单形内点两个不等式的推广与应用 |
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| 引用本文： | 陈士龙 杨世国. 关于单形内点两个不等式的推广与应用[J]. 烟台师范学院学报(自然科学版), 2007, 23(1): 10-13,18 |
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| 作者姓名： | 陈士龙 杨世国 |
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| 作者单位： | [1]安徽大学数学与计算科学学院,合肥230039 [2]安徽教育学院数学系,合肥230061 |
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| 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和解析的方法，研究了涉及n维单形的内点、外接球半径和内切球半径的两个几何不等式，对已有的结果进行了推广，加强了n维Euler不等式，并给出了若干应用．
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| 关 键 词： | 单形 内点 不等式 外接球半径 内切球半径 |
| 文章编号： | 1673-8020（2007）01-0010-04 |
| 收稿时间： | 2006-09-05 |
Generalizations and Applications of Two Classes Inequalities Involving Interior Point of a Simplex |
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| CHEN Shi-long ,YANG Shi-guo. Generalizations and Applications of Two Classes Inequalities Involving Interior Point of a Simplex[J]. Yantai Teachers University journal(Natural Science Edition), 2007, 23(1): 10-13,18 |
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| Authors: | CHEN Shi-long YANG Shi-guo |
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| Abstract: | Two inequalities concerning the interior point of a n-dimensional simplex, the circumradius and the inradius were obtained by using given and the dimensional Euler analytic method and theory of geometric inequalities. Some applications were inequality was extended. |
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| Keywords: | simplex interior point inequality circumradius inradius |
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