| 一个高维加权几何不等式的应用 |
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| 引用本文： | 马统一.一个高维加权几何不等式的应用[J].湖南理工学院学报,2011(1). |
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| 作者姓名： | 马统一 |
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| 作者单位： | 河西学院数学系;西北师范大学数学与信息科学学院; |
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| 基金项目： | 国家自然科学基金资助项目(10971128); 甘肃省教育厅研究生导师基金资助项目(0709-03) |
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| 摘 要： | 最近,我们将距离几何理论与严格的分析方法相结合,证明了一个高维加权几何不等式,推广了一个已知的结果.本文利用该推广结果导出了许多已知或未知的有趣不等式,初步展示了这个几何不等式精彩而广泛的应用.
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| 关 键 词： | Euclidean空间 质点集 单形 体积 几何不等式 |
A Weighted High-Dimensional Geometric Inequality and Applications |
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| MA Tong-yi.A Weighted High-Dimensional Geometric Inequality and Applications[J].Journal of Hunan Institute of Science and Technology,2011(1). |
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| Authors: | MA Tong-yi |
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| Institution: | MA Tong-yi(1.Mathematics Department,Hexi University,Gansu 734000,China,2.College of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,China) |
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| Abstract: | Recently,using the distance geometric theory and rigorous analysis method,a weighted high-dimensional geometric inequality was proved and a known result was extended.Based on this general result,a number of known or unknown interesting geometric inequalities were derived,which show the wide application of this geometric inequality. |
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| Keywords: | Euclidean space set of particles simplex volume geometric inequalities |
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