Some logarithmic Minkowski inequalities for nonsymmetric convex bodies  

作　　者：WANG XingXing XU WenXue ZHOU JiaZu 

机构地区：[1]School of Mathematics and Statistics,Southwest University,Chongqing 400715,China [2]Southwest Guizhou Vocational College of Technology for Nationalities,Kaili 556000,China

出　　处：《Science China Mathematics》2017年第10期1857-1872,共16页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant Nos.11671325 and 11401486);the Natural Science Foundation Project of CQ CSTC(Grant No.cstc2016jcyj A0465)

摘　　要：We prove some analogs inequalities of the logarithmic Minkowski inequality for general nonsymmetric convex bodies. As applications of one of those inequalities, the p-affine isoperimetric inequality and some other inequalities are obtained.We prove some analogs inequalities of the logarithmic Minkowski inequality for general nonsymmetric convex bodies. As applications of one of those inequalities, the p-affine isoperimetric inequality and some other inequalities are obtained.

关 键 词：log-Minkowski inequality Minkowski inequality p-affine isoperimetric inequality dual log-Minkowski inequality 

分 类 号：O174.13[理学—数学] O178[理学—基础数学]