| 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].鲁东大学学报,2007,23(1):10-13. |
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| 作者姓名： | 陈士龙 杨世国 |
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| 作者单位： | 安徽大学数学与计算科学学院 合肥230039(陈士龙)，安徽教育学院数学系 合肥230061(杨世国) |
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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 |
| 修稿时间： | 2006年9月5日 |
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].Ludong University Journal (Natural Science Edition),2007,23(1):10-13. |
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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 analytic method and theory of geometric inequalities.Some applications were given and the dimensional Euler inequality was extended. |
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| Keywords: | simplex interior point inequality circumradius inradius |
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