对偶Orlicz混合仿射均质积分的不等式  

Inequalities for Dual Orlicz Mixed Affine Quermassintegrals

作　　者：邓国军 缑艳 

机构地区：[1]兰州市第九中学,甘肃 兰州

出　　处：《应用数学进展》2019年第12期2035-2044,共10页Advances in Applied Mathematics

摘　　要：本文将经典Brunn-Minkowski理论中对偶仿射均质积分的概念及相关不等式推广到Orlicz空间,提出了对偶Orlicz混合仿射均质积分的概念,建立了对偶Orlicz混合仿射均质积分的Orlicz-Minkowski不等式和Orlicz-Brunn-Minkowski不等式。This paper generalizes the notion of dual affine quermassintegrals in the classical Brunn-Minkowski theory and its inequalities to Orlicz space. Concept of dual Orlicz mixed affine quermassintegrals is introduced in this paper, and the Orlicz-Minkowski inequality and the Orlicz-Brunn-Minkowski inequality are established for this new dual Orlicz mixed affine quermassintegrals.

关 键 词：星体 ORLICZ空间 对偶Orlicz混合仿射均质积分 Orlicz-Minkowski不等式 Orlicz-Brunn-Minkowski不等式 

分 类 号：O17[理学—数学]