Title of article :
On Brunn-Minkowski type inequality
Author/Authors :
Ji ، Lewen - East China University of Technology , Zeng ، Zhenbing - Shanghai University , Zhong ، Jingjing - Jiangxi University of Finance and Economics
Abstract :
The notion of Aleksandrov body in the classical Brunn-Minkowski theory is extended to that of Orlicz-Aleksandrov body in the Orlicz Brunn-Minkowski theory. The analogs of the Brunn-Minkowski type inequality and the first variations of volume are established via Orlicz-Aleksandrov body. We also make some considerations for the polar of Orlicz combination.
Keywords :
Orlicz , Aleksandrov body , Brunn , Minkowski type inequality , Orlicz combination
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications
