| 一类涉及两个单形的三角不等式及其应用 |
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| 引用本文： | 齐继兵,杨世国.一类涉及两个单形的三角不等式及其应用[J].数学的实践与认识,2008,38(22). |
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| 作者姓名： | 齐继兵 杨世国 |
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| 作者单位： | 合肥师范学院,数学系,合肥,230061 |
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| 基金项目： | 安徽省高等学校省级自然科学研究项目
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安徽省商校省级重点项目
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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的一类三角不等式.作为其应用,获得了涉及两个单形及其内点的几何不等式,特别,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： | 垂足单形 内点 顶点角 空间角 不等式 |
A Class of Triangle Inequalities Involving Two Simplices and Their Applications |
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| QI Ji-bing,YANG Shi-guo.A Class of Triangle Inequalities Involving Two Simplices and Their Applications[J].Mathematics in Practice and Theory,2008,38(22). |
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| Authors: | QI Ji-bing YANG Shi-guo |
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| Institution: | Department of Mathematics;Hefei Teachers College;Hefei 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 triangle inequalities involving two simplices and their interior points are established in this paper.As their applications,we can get a class of inequalities involving two simplices and their interior points.Specially,we 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... |
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| Keywords: | pedal simplex interior point vertex angle space angle inequality |
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