| 单形的径向平均体 |
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| 引用本文： | 倪建华,熊革,CHEUNG Wing-sum. 单形的径向平均体[J]. 上海大学学报(英文版), 2007, 11(1): 49-49. DOI: 10.1007/s11741-007-0108-z |
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| 作者姓名： | 倪建华 熊革 CHEUNG Wing-sum |
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| 作者单位： | Department of Mathematics College of Sciences Shanghai University，Department of Mathematics College of Sciences，Shanghai University，Department of Mathematics HongKong University，Shanghai 200444，P.R.China，Shanghai 200444，P.R.China，HongKong，P.R.China |
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| 摘 要： | In this paper, it is proved that the radial pth mean body RpK（p 〉 0） is homothetic to the difference body DK when K is a simplex, Furthermore, the equality Rp（Rq） = Rq（Rp） is established when p 〉 0 and q 〉 0. It is also proved the Brunn-Minkowski inequality of radial pth mean body of simplex and uniqueness property.
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| 关 键 词： | 单形 径向平均体 不等式 唯一性 |
| 收稿时间： | 2004-12-13 |
| 修稿时间： | 2005-05-16 |
Radial mean bodies of simplices |
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| NI Jian-hua,XIONG Ge,CHEUNG Wing-sum. Radial mean bodies of simplices[J]. Journal of Shanghai University(English Edition), 2007, 11(1): 49-49. DOI: 10.1007/s11741-007-0108-z |
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| Authors: | NI Jian-hua XIONG Ge CHEUNG Wing-sum |
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| Affiliation: | 1. Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China
2. Department of Mathematics, HongKong University, HongKong, P. R. China |
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| Abstract: | In this paper, it is proved that the radial pth mean body R p K(p > 0) is homothetic to the difference body DK when K is a simplex. Furthermore, the equality R p(R q) = R q(R p) is established when p > 0 and q > 0. It is also proved the Brunn-Minkowski inequality of radial pth mean body of simplex and uniqueness property. Project supported by the Youth Science Foundation of Shanghai Municipal Commission of Education (Grant No.214511), and the Research Grants Council of the HongKong SAR, China (Grant No.HKU7017105P) |
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| Keywords: | convex body radial mean body simplex covariogram |
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