Mean width inequalities for symmetric Wulff shapes  

作　　者：GUO LuJun LENG GangSong 

机构地区：[1]College of Mathematics and Information Science, Henan Normal University [2]Department of Mathematics, Shanghai University

出　　处：《Science China Mathematics》2014年第8期1649-1656,共8页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant No. 11271244);Shanghai Leading Academic Discipline Project (Grant No. S30104)

摘　　要：We establish the mean width inequalities for symmetric Wulff shapes by a direct approach.We also yield the dual inequality along with the equality conditions.These new inequalities have Barthe’s mean width inequalities for even isotropic measures and its dual form as special cases.We establish the mean width inequalities for symmetric Wulff shapes by a direct approach. We also yield the dual inequality along with the equality conditions. These new inequalities have Barthe＇s mean width inequalities for even isotropic measures and its dual form as special cases.

关 键 词：isotropic measure Wulff shape mean width Ball-Barthe inequalities 

分 类 号：O181[理学—数学]