对偶Brunn-Minkowski型不等式

摘要

本文研究了对偶Brunn-Minkowski不等式问题.利用对偶混合体和Blaschke径向和的性质,建立了对偶混合体均质积分的Brunn-Minkowski不等式的隔离形式,推广了对偶Brunn-Minkowski理论的几个不等式.%In this paper,we study the problem of Brunn-Minkowski inequalities.Applying the property of dual mixed body and radial Blaschke linear addition,we establish the isolate form of the Brunn-Minkowski inequalities for the quermassintegrals of dual mixed body,strengthen some inequalities in the dual Brunn-Minkowski theory.