| 对偶L_q变换法则 |
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| 引用本文： | 陶江艳,李晓.对偶L_q变换法则[J].西南师范大学学报(自然科学版),2019,44(12):31-34. |
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| 作者姓名： | 陶江艳 李晓 |
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| 作者单位： | 西南大学 数学与统计学院, 重庆 400715 |
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| 摘 要： | 在已有结果的基础上对对偶L_q Brunn-Minkowski理论做了一些推广,主要讨论了对偶L_q Brunn-Minkowski型不等式并得到部分结果.给出统一的处理对偶L_q Brunn-Minkowski型不等式的方法,称此方法为对偶L_q变换法则,通过运用此法则给出了关于对偶混合体积著名的对偶L_q Brunn-Minkowski型不等式的简化证明.
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| 关 键 词： | 对偶混合体积 对偶Brunn-Minkowski型不等式 对偶Lq Brunn-Minkowski型不等式 |
| 收稿时间： | 2019/4/26 0:00:00 |
Dual Lq Transference Principle |
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| TAO Jiang-yan,LI Xiao.Dual Lq Transference Principle[J].Journal of Southwest China Normal University(Natural Science),2019,44(12):31-34. |
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| Authors: | TAO Jiang-yan LI Xiao |
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| Institution: | School of Mathematics and Statistics, SouthwestUniversity, Chongqing 400715, China |
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| Abstract: | In this paper, the dual Lq Brunn-Minowski theory is generalized based on the existing results and mainly discusses the dual Lq Brunn-Minowski type inequality and obtains few results. In this paper, a unified method for dealing with Lq Brunn-Minowski type inequality is given by means of literature review, which is called dual Lq transference principle. By using this principle, a simplified proof of the famous dual Lq Brunn-Minkowski type inequality about the dual mixed volume is given. |
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| Keywords: | dual mixed volume dual Brunn-Minkowski type inequalities dual Lq Brunn-Minkowski type inequaliyies |
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