| Quasi Lp-Intersection Bodies |
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| 引用本文： | Wu Yang YU Dong Hua WU Gang Song LENG. Quasi Lp-Intersection Bodies[J]. 数学学报(英文版), 2007, 23(11): 1937-1948. DOI: 10.1007/s10114-007-0958-0 |
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| 作者姓名： | Wu Yang YU Dong Hua WU Gang Song LENG |
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| 作者单位： | [1]Institute of Management Decision ＆ Innovation,Hangzhou Dianzi University, Zhejiang 310018, P. R. China [2]Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China |
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| 基金项目： | Supported by National Natural Sciences Foundation of China （10671117）; Acknowledgement The authors wish to thank the referees for their very helpful comments and suggestions on the original version of this paper. |
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| 摘 要： |
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| 关 键 词： | 交叉体 不等式 Lp相似体 多体问题 |
| 收稿时间： | 2005-03-11 |
| 修稿时间： | 2005-03-11 |
Quasi Lp-Intersection Bodies |
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| Wu Yang Yu,Dong Hua Wu,Gang Song Leng. Quasi Lp-Intersection Bodies[J]. Acta Mathematica Sinica(English Series), 2007, 23(11): 1937-1948. DOI: 10.1007/s10114-007-0958-0 |
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| Authors: | Wu Yang Yu Dong Hua Wu Gang Song Leng |
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| Affiliation: | (1) Institute of Management Decision & Innovation, Hangzhou Dianzi University, Zhejiang, 310018, P. R. China;(2) Department of Mathematics, Shanghai University, Shanghai, 200444, P. R. China |
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| Abstract: | The purpose of this paper is to generalize the notion of intersection bodies to that of quasi Lp-intersection bodies. The Lp-analogs of the Busemann intersection inequality and the Brunn- Minkowski inequality for the quasi Lp-intersection bodies are obtained. The Aleksandrov Fenchel inequality for the mixed quasi Lp-intersection bodies is also established. |
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| Keywords: | quasi Lp-intersection bodies Busemann intersection inequality Brunn Minkowski inequality Aleksandrov Fenchel inequality |
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