| 对偶Brunn-Minkowski不等式的逆 |
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| 引用本文： | 赵长健.对偶Brunn-Minkowski不等式的逆[J].数学年刊A辑(中文版),2014,35(6):697-704. |
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| 作者姓名： | 赵长健 |
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| 作者单位： | 中国计量学院数学系, 杭州 310018. |
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| 基金项目： | 国家自然科学基金(No.11371334) |
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| 摘 要： | 20世纪80年代Milman曾指出:反向Brunn-Minkowski不等式是凸几何的一个深刻的结果.考虑了对偶情况,建立了一个反向的对偶Brunn-Minkowski不等式.进一步,均值积分差的反向对偶Brunn-Minkowski型不等式也被建立.
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| 关 键 词： | Brunn-Minkowski不等式 反向Brunn-Minkowski不等式 对偶Brunn-Minkowski不等式 Bellman不等式 |
Reverse Dual Brunn-Minkowski Inequalities |
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| ZHAO Changjian.Reverse Dual Brunn-Minkowski Inequalities[J].Chinese Annals of Mathematics,2014,35(6):697-704. |
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| Authors: | ZHAO Changjian |
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| Institution: | Department of Mathematics, China Jiliang
University, Hangzhou 310018, China. |
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| Abstract: | Department of Mathematics, China Jiliang
University, Hangzhou 310018, China. |
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| Keywords: | The reverse Brunn-Minkowski inequality is a deep result in convex
geometry discovered by Milman in 1980's In this paper the author considers a dual problem and establishes a reverse dual Brunn-Minkowski inequality Furthermore a reverse dual Brunn-Minkowski type inequality for dual quamassintegral difference is also established |
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