The Polar φ-Brunn-Minkowski Inequalities  

作　　者：WEI Hongyu 

机构地区：[1]School of Mathematical Sciences,Chongqing Normal University,Chongqing 401331,China

出　　处：《Wuhan University Journal of Natural Sciences》2020年第4期293-300,共8页武汉大学学报（自然科学英文版）

基　　金：Supported by the Natural Science Foundation of Chongqing(CSTC-2018JCYJ-AX0190)。

摘　　要：A general framework of polar Brunn-Minkowski theory that unifies the Orlicz Brunn-Minkowski inequality, the Lp Brunn-Minkowski inequality for p ∈(0,1) and the logBrunn-Minkowski inequality all for polar bodies is provided. It is shown that this general polar φ Brunn-Minkowski inequality is equivalent to a general polar φ Minkowski mixed volume inequality.

关 键 词：polar body variational formula general Brunn-Minkowski theory Minkowski mixed volume inequality Brunn-Minkowski inequality 

分 类 号：O178[理学—数学]