| E^n中Finsler-Hadwiger与Euler不等式的改进 |
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| 引用本文： | 陈士龙.E^n中Finsler-Hadwiger与Euler不等式的改进[J].淄博学院学报(自然科学与工程版),2014(6):25-28. |
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| 作者姓名： | 陈士龙 |
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| 作者单位： | 安徽广播影视职业技术学院,安徽合肥230011 |
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| 基金项目： | 安徽省高校科研重点项目（KJ2013A220）; 安徽省高校省级自然科学研究课题（KJ2013B043） |
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| 摘 要： | 应用几何不等式理论和解析的方法,研究了n维欧氏空间中n维单形的Finsler-Hadwiger不等式和n维Euler不等式.在原有不等式的基础上,建立了两个新的几何不等式,并对现有的结论进行了推广.
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| 关 键 词： | 单形 外切球半径 内切球半径 Finsler-Hadwiger不等式 Euler不等式 |
Two improvements of Finsler-Hadwiger inequality and Euler inequality in E^n |
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| CHEN Shi-long.Two improvements of Finsler-Hadwiger inequality and Euler inequality in E^n[J].Journal of Zibo University(Natural Sciences and Engineering),2014(6):25-28. |
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| Authors: | CHEN Shi-long |
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| Institution: | CHEN Shi-long (Anhui Vocational Broadcasting Movie and Television College, Hefei 230011, China) |
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| Abstract: | Finsler-Hadwiger inequality and Euler inequality in En were studied by using geometric theory and analytical method.Two new geometric inequalities of n-dimensional Finsler-Hadwiger inequality and Euler inequality were set up,and two known results were generalized. |
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| Keywords: | simplex circumradius inradius Finsler-Hadwiger inequality Euler inequality |
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