| 涉及两个单形的一类不等式及其应用 |
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| 引用本文： | 齐继兵,杨世国.涉及两个单形的一类不等式及其应用[J].安徽师范大学学报(自然科学版),2007,30(4):437-441. |
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| 作者姓名： | 齐继兵 杨世国 |
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| 作者单位： | 安徽大学,数学与计算科学学院,安徽,合肥,230039;安徽教育学院,数学系,安徽,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： | 应用解析方法和几何不等式理论研究了n维欧氏空间En中涉及两个n维单形的几何不等式问题,建立了涉及两个单形及其内点的一类不等式.作为其应用,获得了n维单形与其垂足单形的体积的一类关系式,改进了关于垂足单形体积的几类几何不等式.
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| 关 键 词： | 两个单形 内点 垂足单形 顶点角 空间角 |
| 文章编号： | 1001-2443（2007）04-0437-05 |
| 收稿时间： | 2006-06-13 |
| 修稿时间： | 2006-06-13 |
A Class of Inequalities Involving Two Simplices and Their Applications |
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| QI Ji-bing,YANG Shi-guo.A Class of Inequalities Involving Two Simplices and Their Applications[J].Journal of Anhui Normal University(Natural Science Edition),2007,30(4):437-441. |
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| Authors: | QI Ji-bing YANG Shi-guo |
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| Institution: | 1. School of Mathematics and Computational Science, Anhui University, Hefei 230039, China; 2. Department of Mathematics, Anhui Institute of Education, Hefel 230061, China |
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| Abstract: | Using analytic method and theory of geometric inequality, the problem of geometric inequality involving two simplices in En is discussed,and a class of inequalities involving two simplices and their interior points are established in this paper.As their applications,we can get a class of inequalities on the volumes of simplex and its pedal simplex,some known inequalities on the volumes of simplex and its pedal simplex are improved. |
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| Keywords: | two simplices interior point pedal simplex vertex angle space angle |
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