On Reverses of the Blaschke-Santalo Inequality for Convex Bodies  

作　　者：WANG Wei-dong ZHOU Yan-ping 

机构地区：[1]Department of Mathematics, China Three Gorges University, Yichang 443002, China

出　　处：《Chinese Quarterly Journal of Mathematics》2013年第4期605-611,共7页数学季刊（英文版）

基　　金：Foundation item： Supported by the National Natural Science Foundation of China（10671117）; Supported by the Innovation Foundation of Graduate Student of China Three Gorges University（2012CX077）

摘　　要：Reisner proved a reverse of the Blaschke-Santal5 inequality for zonoid bodies, Bourgain and Milman showed another reverse of the Blaschke-Santal5 inequality for centered convex bodies. In this paper, two reverses of the Blaschke-Santal5 inequality for convex bodies are given by the Petty projection inequality and above two reverses. Further, using above methods, we also obtain two analogues of the Petty＇s conjecture for projection bodies, respectively.

关 键 词：convex body Blaschke-Santal5 inequality REVERSE Petty＇s conjecture 

分 类 号：O178[理学—数学]