| 关于Zonotopes的几个不等式 |
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| 引用本文： | 赵灵芝,冷岗松.关于Zonotopes的几个不等式[J].上海大学学报(英文版),2005,9(6):476-479. |
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| 作者姓名： | 赵灵芝 冷岗松 |
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| 作者单位： | Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P.R. China |
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| 基金项目： | Project supported in part by National Natural Science Foundation of China （Grant No. 10271071） |
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| 摘 要： | The lower bound for the volume of the zonotope for John-basis had been given by Ball. In this paper, a simple proof of Ball＇s inequality was first provided, then the result of Ball was generalized from John-basis to a sequence of non-zero vectors which are full rank. Furthermore, the upper bound for the volumes of zonotopes was given. Finally the inequalities were deduced for the inradius and circumradius of a certain zonotope.
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| 关 键 词： | Zonotopes 不等式 质点系统 John-原则 |
| 文章编号： | 1007-6417（2005）06-0476-04 |
| 收稿时间： | 2004-06-30 |
| 修稿时间： | 2004-09-13 |
Inequalities for zonotopes |
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| Zhao Ling-zhi,Leng Gang-song.Inequalities for zonotopes[J].Journal of Shanghai University(English Edition),2005,9(6):476-479. |
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| Authors: | Zhao Ling-zhi Leng Gang-song |
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| Institution: | Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P.R. China |
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| Abstract: | The lower bound for the volume of the zonotope for John-basis had been given by Ball. In this paper, a simple proof of Ball's inequality was first provided, then the result of Ball was generalized from John-basis to a sequence of non-zero vectors which are full rank. Furthermore, the upper bound for the volumes of zonotopes was given. Finally the inequalities were deduced for the inradius and circumradius of a certain zonotope. |
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| Keywords: | zonotope John-basis quermassintegral mixedvolume masspoint system |
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