混合相交体对偶均质积分的逆向Minkowski不等式  

Reverse Minkowski Inequality for Dual Quermassintegrals of Mixed Intersection Bodies

作　　者：鞠芳[1] 王星星[1] JU Fang WANG Xing-xing(School of Mathematics and Statistics, Southwest University,Chongqing 400715,China)

机构地区：[1]西南大学数学与统计学院,重庆400715

出　　处：《西南师范大学学报（自然科学版）》2017年第4期27-30,共4页Journal of Southwest China Normal University(Natural Science Edition)

摘　　要：Lutwak引进了混合相交体的概念并给出了混合相交体的Minkowski不等式.本文给出了混合相交体对偶均质积分的逆向Minkowski不等式.Lutwak introduced a new star body called mixed intersection body and proved the Minkowski inequality of the mixed intersection bodies.In this paper,we will prove the reverse Minkowski inequality for the dual quermassintegrals of mixed intersection bodies.

关 键 词：混合相交体 Pólya-Szego 不等式 MINKOWSKI不等式 逆向Minkowski不等式 

分 类 号：O186.5[理学—数学]