对偶体积差Lp-Brunn-Minkowski不等式  

Dual Lp-Brunn-Minkowski Inequality for Volume Differences

作　　者：何娟[1] 

机构地区：[1]重庆师范大学数学科学学院,重庆401331

出　　处：《湖北民族学院学报（自然科学版）》2016年第3期285-287,294,共4页Journal of Hubei Minzu University(Natural Science Edition)

基　　金：国家自然科学基金面上项目(11271390)

摘　　要：介绍了对偶体积差和均质积分差的概念,讨论了它们的对偶Lp-Brunn-Minkowski型理论,其中一个结论表明,对于两个相互扩张的星体,特别地,当它们中挖掉两个任意的星体后,Lp-Brunn-Minkowski不等式仍然成立.In this paper,we introduce the concepts of the dual volume differences and width-integral differences,and discuss the theory of dual Lp-Brunn-Minkowski type for them.One of the results implies that for two mutually dilating star bodies,the dual Lp-Brunn-Minkowski inequality still holds after two arbitrary star bodies included in them are excluded.

关 键 词：星体 凸体 对偶体积差 对偶Lp-Brunn-Minkowski不等式 对偶均质积分差 

分 类 号：O18[理学—数学]