引用本文:陶江艳, 李晓.对偶Lq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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对偶Lq变换法则
陶江艳, 李晓
西南大学 数学与统计学院, 重庆 400715
摘要:
在已有结果的基础上对对偶Lq Brunn-Minkowski理论做了一些推广,主要讨论了对偶Lq Brunn-Minkowski型不等式并得到部分结果.给出统一的处理对偶Lq Brunn-Minkowski型不等式的方法,称此方法为对偶Lq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Lq Brunn-Minkowski型不等式的简化证明.
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
DOI:10.13718/j.cnki.xsxb.2019.12.006
分类号:O186.5
基金项目:
Dual Lq Transference Principle
TAO Jiang-yan, LI Xiao
School of Mathematics and Statistics, SouthwestUniversity, Chongqing 400715, China
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.
Key words:  dual mixed volume  dual Brunn-Minkowski type inequalities  dual Lq Brunn-Minkowski type inequaliyies
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