On Isolations for the Brunn-Minkowski Inequality of Quermassintegrals and Dual Quermassintegrals  

关于Brunn-Minkowski不等式的均质积分和对偶均质积分形式的隔离(英文)

作　　者：王卫东 齐晨 

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

出　　处：《Chinese Quarterly Journal of Mathematics》2012年第4期582-589,共8页数学季刊（英文版）

基　　金：Supported by the Natural Science Foundation of China(10671117);Supported by the Science Foundation of China Three Gorges University

摘　　要：Lutwak proved the Brunn-Minkowski inequality for the quermassintegrals of Fiery Lρ-combination. Wang and Leng gave the Brunn-Minkowski inequality for the dual quermassintegrals of Lρ-harmonic radial combination. In the paper, we establish the isolate forms of the Brunn-Minkowski inequality for quermassintegrals and dual quermassintegrals,respectively.

关 键 词：Fiery L_p-combination L_p-harmonic radial combination Brunn-Minkowski inequality quermassintegrals dual quermassintegrals 

分 类 号：O178[理学—数学] O184[理学—基础数学]