| 关于内接单形几个几何不等式及应用 |
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| 引用本文： | 余静.关于内接单形几个几何不等式及应用[J].安徽教育学院学报,2011(6):5-7. |
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| 作者姓名： | 余静 |
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| 作者单位： | 合肥师范学院数学系,安徽合肥,230061 |
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| 基金项目： | [基金项目]安徽省高校省级重点科研项目 |
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| 摘 要： | 应用几何不等式理论与解析方法，研究欧氏空间En中n维单形的几何不等式问题，建立了关于单形与其内接单形的两个不等式，推广了已有的结果，推广了著名的n维Euler不等式。
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| 关 键 词： | 欧氏空间 单形 内接单形 不等式 |
Application and Generalization of some Geometric Inequalities for Inscribed Simplex |
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| YU Jing.Application and Generalization of some Geometric Inequalities for Inscribed Simplex[J].Journal of Anhui Institute of Education,2011(6):5-7. |
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| Authors: | YU Jing |
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| Institution: | YU Jing (Department of Mathematics, He f ei Normal University, He f ei 230061, China) |
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| Abstract: | In this paper, the theory of geometric inequalities and analytic method are emlployed to study the problems of geometric inequality for n-dimensional simplex in the Euclidean Space En. Two geometric ine- qualities for a simplex and its inscribed simplex are established, some known results and the famous n-di- mensional Euler inequality are improved. |
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| Keywords: | Euclidean space simplex inscribed simplex inequality |
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