| 关于凸体i次宽度积分的不等式 |
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| 引用本文： | 卢峰红,冷岗松.关于凸体i次宽度积分的不等式[J].应用数学,2006,19(3):632-636. |
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| 作者姓名： | 卢峰红 冷岗松 |
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| 作者单位： | 上海大学数学系,上海,200444 |
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| 摘 要： | 根据Lutwak引进的凸体i次宽度积分的概念,本文获得了凸体i次宽度积分的Blaschke-Santal幃不等式,并把Ky Fan不等式推广到了凸体i次宽度积分.最后,本文利用其与对偶均质积分之间的关系建立了两个中心对称凸体的极的Brunn-Minkowski型不等式.
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| 关 键 词： | 凸体 对偶均质积分 宽度积分 p-宽度 |
| 文章编号： | 1001-9847(2006)03-0632-05 |
| 收稿时间： | 2005-12-19 |
| 修稿时间： | 2005年12月19 |
On Inequalities for i-th Width-integrals of Convex Bodies |
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| LU Feng-hong,LENG Gang-song.On Inequalities for i-th Width-integrals of Convex Bodies[J].Mathematica Applicata,2006,19(3):632-636. |
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| Authors: | LU Feng-hong LENG Gang-song |
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| Institution: | Dept. of Math. , Shanghai University, Shanghai 200444, China |
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| Abstract: | Inequalities similar to the Blaschke-Santalo inequality for the i- th width-integrals of convex bodies established by Lutwak,are shown to exist,the Ky Fan inequalities are generalized to the i- th width-integrals of convex bodies. Using the relations between it and the dual quermass-integrals, the Brunn-Minkowski inequality for the polar of the centrally symmetric bodies are given. |
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| Keywords: | Convex body Dual quermassintegrals Width-integrals p-width |
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