| 也谈Finsler-Hadwiger和Neuberg-Pedoe不等式的高维推广和加强 |
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| 引用本文： | 张.也谈Finsler-Hadwiger和Neuberg-Pedoe不等式的高维推广和加强[J].湖南师范大学教育科学学报,1998(2). |
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| 作者姓名： | 张 |
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| 作者单位： | 湖南教育学院数学系!长沙，410012 |
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| 摘 要： | 本文对欧氏空间En中的n维单形和它的k（l≤k≤n-1）维子单形，给出了著名的Finsler－Hadwiger不等式、Neuberg－Pedoe不等式、彭家贵不等式以及Euler不等式的高维推广和加强．
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| 关 键 词： | n维单形 k维子单形 体积 不等式 |
ALSO ON SOME HIGH-DIMENSION GENERALIZATIONS AND STRENGTHENING OF THE FINSLER-HADWIGER INEQUALITY AND NEUBERG-PEDOE INEQUALITY |
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| Zhang Yao.ALSO ON SOME HIGH-DIMENSION GENERALIZATIONS AND STRENGTHENING OF THE FINSLER-HADWIGER INEQUALITY AND NEUBERG-PEDOE INEQUALITY[J].Journal of Educational Science of Hunan Normal University,1998(2). |
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| Authors: | Zhang Yao |
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| Abstract: | In this paper,the author establishes some inequalities involving one or two simplexes and their k-subsimplexes in En,which are generalizations and strengthening of thewell-known Finsler-Hadwiger inequatity,Pen Chiakuei inequality, Neuberg-Pedoe inequalityand Euler inequality. |
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| Keywords: | n-simplex k-subsimplex volume inequality |
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