Orlicz mixed quermassintegrals Dedicated to Professor Ren De-lin on the Occasion of his 80th Birthday  

作　　者：XIONG Ge ZOU Du 

机构地区：[1]Department of Mathematics, Shanghai University

出　　处：《Science China Mathematics》2014年第12期2549-2562,共14页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant No.11001163);Innovation Program of Shanghai Municipal Education Commission(Grant No.11YZ11)

摘　　要：The notion of mixed quermassintegrals in the classical Brunn-Minkowski theory is extended to that of Orlicz mixed quermassintegrals in the Orlicz Brunn-Minkowski theory. The analogs of the classical Cauchy- Kuhota formula, the Minkowski isoperimetric inequality and the Brunn-Minkowski inequality are established for this new Orlicz mixed quermassintegrals.The notion of mixed quermassintegrals in the classical Brunn-Minkowski theory is extended to that of Orlicz mixed quermassintegrals in the Orlicz Brunn-Minkowski theory. The analogs of the classical CauchyKubota formula, the Minkowski isoperimetric inequality and the Brunn-Minkowski inequality are established for this new Orlicz mixed quermassintegrals.

关 键 词：Orlicz Brunn-Minkowski theory QUERMASSINTEGRAL Minkowski＇s isoperimetric inequality integral geometry 

分 类 号：O186.5[理学—数学]