| 质心体与射影体的极 |
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| 引用本文： | 赵长健,何斌吾,冷岗松.质心体与射影体的极[J].数学学报,2006,49(3):679-686. |
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| 作者姓名： | 赵长健 何斌吾 冷岗松 |
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| 作者单位： | [1]中国计量学院理学院信息与数学科学系,杭州310018 [2]上海大学数学系,上海200444 |
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| 基金项目： | 国家自然科学基金资助项目（10271071）;山东省高校中青年学术骨干基金资助项目（200203）浙江省自然科学基金资助项目（Y605065）;浙江省教育厅科技计划项目（20050392） |
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| 摘 要： | 建立了关于Blaschke与调和Blaschke线性组合的射影体极的几个精度不同的Brunn-Minkowski型不等式,给出了调和Blaschke线性组合的质心体极的Brunn- Minkowski不等式和类似结果．
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| 关 键 词： | 射影体 质心体 射影体的极 质心体的极 |
| 文章编号： | 0583-1431（2006）03-0679-08 |
| 收稿时间： | 2003-06-04 |
| 修稿时间： | 2003-06-042005-06-28 |
On Polars of Projection Bodies and Centroid Bodies |
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| Chang Jian ZHAO.On Polars of Projection Bodies and Centroid Bodies[J].Acta Mathematica Sinica,2006,49(3):679-686. |
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| Authors: | Chang Jian ZHAO |
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| Institution: | Department of Information and Mathematical Sciences, College of Science, China JilianQ University, Hangzhou 310018, P. R. China; Bin Wu HE Gang Song LENG Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China |
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| Abstract: | In this paper, we first establish several Brunn-Minkowski inequalities of polars of projection bodies, for the Blaschke linear combination and the harmonic Blaschke linear combination. Then, we prove Brunn-Minkowski inequalities of polars of centroid bodies, and similar resuets for the harmonic Blaschke linear combination. |
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| Keywords: | projection body centroid body polar of projection body polar of centroid body |
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