| 赵长健.对偶Brunn-Minkowski不等式的逆[J].数学年刊A辑,2014,35(6):697~704 |
| 对偶Brunn-Minkowski不等式的逆 |
| Reverse Dual Brunn-Minkowski Inequalities |
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| DOI： |
| 中文关键词: Brunn-Minkowski不等式, 反向Brunn-Minkowski不等式,
对偶Brunn-Minkowski不等式, Bellman不等式 |
| 英文关键词: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. |
| 基金项目:国家自然科学基金(No.11371334) |
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| 中文摘要: |
| 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. |
| 英文摘要: |
| Department of Mathematics, China Jiliang
University, Hangzhou 310018, China. |
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