| 涉及四个单形的一类不等式 |
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| 引用本文： | 周永国.涉及四个单形的一类不等式[J].数学杂志,2016,36(2):375-384. |
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| 作者姓名： | 周永国 |
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| 作者单位： | 湖南沅陵一中, 湖南 怀化 419600 |
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| 摘 要： | 本文研究了涉及四个单形的一类不等式问题.利用距离几何的理论和方法获得了两个单形的棱长与另两个单形的内点、中线、高、外接超球半径、内切超球半径、旁切超球半径以及n-1维侧面的体积、外接超球半径、内切超球半径的一类新的几何不等式.推广了文献(5])中的全部结果.
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| 关 键 词： | 单形 棱长 内点 几何不等式 |
| 收稿时间： | 2013/6/15 0:00:00 |
| 修稿时间： | 2014/1/6 0:00:00 |
A CLASS OF INEQUALITY INVOLVING FOUR SIMPLEXES |
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| ZHOU Yong-guo.A CLASS OF INEQUALITY INVOLVING FOUR SIMPLEXES[J].Journal of Mathematics,2016,36(2):375-384. |
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| Authors: | ZHOU Yong-guo |
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| Institution: | No.1 Middle School of Yuanling, Huaihua 419600, China |
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| Abstract: | In this paper, we study a class of inequality involving four simplexes. By using the theory and method of distance geometry, we obtain a new class of geometric inequality between the length of the edges of two simplexes and the interior point, center line, height, the circumradius, inradius, sideradius of the other two simplexes and (n-1)-dimensional volume, the circumradius and inradius, which extend the results in5]. |
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| Keywords: | simplex the length of edges interior point geometric inequality |
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