| 凸柱体与摄动体的极值问题 |
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| 引用本文： | 冷岗松,邬冬华,田蔚文.凸柱体与摄动体的极值问题[J].数学年刊A辑(中文版),2002(2). |
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| 作者姓名： | 冷岗松 邬冬华 田蔚文 |
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| 作者单位： | 上海大学数学系，上海大学数学系，上海大学数学系 上海 ２００４３６，上海 ２００４３６，上海 ２００４３６ |
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| 基金项目： | 国家博士后基金，上海市教委发展基金资助的项目 |
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| 摘 要： | 本文证明了由Ｚｏｎｏｉｄ体生成的凸柱体的一个极值性质,并研究了在Ｊｏｈｎ基上的凸摄动体的最大Ｈａｕｓｏｄｏｒｆｆ距离和平均宽度的下界．
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| 关 键 词： | 凸柱体 摄动体 Zonoid 混合体积 平均宽度 |
EXTREME PROBLEMS FOR CONVEX CYLINDERS AND PERTURBATION BODIES |
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| LENG Gangsong WU Donghua,TIAN Weiwen.EXTREME PROBLEMS FOR CONVEX CYLINDERS AND PERTURBATION BODIES[J].Chinese Annals of Mathematics,2002(2). |
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| Authors: | LENG Gangsong WU Donghua TIAN Weiwen |
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| Institution: | LENG Gangsong WU Donghua TIAN Weiwen Department of Mathematics,Shanghai University,Shanghai 200436,China. |
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| Abstract: | By applying the well-known Petty-Schneider theorem, the authors establish a theorem for convex cylinder, which implies that Zonoids have some extreme properties. Further, a lower bound of the Hausdorff metrics between a convex body and one of perturbation bodies of it in John basis are obtained. |
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| Keywords: | Convex cylinder Perturbation body Zonoid Hausdorff metrics |
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