| 一般对偶混合体积不等式(英文) |
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| 引用本文： | 陈方维,周家足.一般对偶混合体积不等式(英文)[J].数学杂志,2010,30(3). |
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| 作者姓名： | 陈方维 周家足 |
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| 作者单位： | 1. 贵州财经学院数学与统计分院,贵阳,贵州,550004;武汉大学数学与统计学院,武汉,湖北,430072
2. 西南大学数学与统计学院,重庆,400715 |
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| 基金项目： | supported by the Chinese NSF(10671159); the Doctoral Fundation of Guizhou College of Economic and Finance |
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| 摘 要： | 本文研究了星体的对偶仿射均质积分问题.利用H(o)lder不等式和Blaschke-Santaló不等式.获得了一般对偶均质积分的Minkowski不等式,Brunn-Minkowski不等式以及定理3.从而不等式推广了文献7]的结果.
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| 关 键 词： | 混合体积 均质积分 Minkowski不等式 Brunn-Minkowski不等式 |
SOME INEQUALITIES ON GENERAL DUAL MIXED VOLUMES |
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| CHEN Fang-wei,ZHOU Jia-zu.SOME INEQUALITIES ON GENERAL DUAL MIXED VOLUMES[J].Journal of Mathematics,2010,30(3). |
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| Authors: | CHEN Fang-wei ZHOU Jia-zu |
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| Institution: | CHEN Fang-wei~(1,2),ZHOU Jia-zu~3 (1.School of Mathematics , Statistics,Guizhou College of Finance , Economics,Guiyang 550004,China) (2.School of Mathematics , Statistics,Wuhan University,Wuhan 430072,China) (3.School of Mathematics , Statistics,Southwest University,Chongqing 400715,China) |
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| Abstract: | In this article, we investigate the problem of the dual afline quermaesintegrals generalized dual Minkowski inequalities, the generalized dual Brunn-Minkowski inequalities of dual afline quermassintegrals and Theorem 3. These inequalities extend the results of 7]. |
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| Keywords: | mixed volume quermassintegral Minkowski inequality Brunn-Minkowski inequality |
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