A FUNCTIONAL ORLICZ BUSEMANN-PETTY CENTROID INEQUALITY FOR LOG-CONCAVE FUNCTIONS  

作　　者：Xiao LI Jiazu ZHOU 李晓;周家足(School of Mathematical Sciences,Chongqing Normal University,Chongqing,401331,China;School of Mathematics and Big Data,Guizhou Education University,Guiyang,550018,China)

机构地区：[1]School of Mathematical Sciences,Chongqing Normal University,Chongqing,401331,China [2]School of Mathematics and Big Data,Guizhou Education University,Guiyang,550018,China

出　　处：《Acta Mathematica Scientia》2025年第1期52-71,共20页数学物理学报(B辑英文版)

基　　金：Supported in part by NSFC(12071378,12461009),20XLB012,KJQN202100527,CSTB2022NSCQ-MSX0259 and KJQN202300557.

摘　　要：In this paper,the Orlicz centroid function for log-concave functions is introduced.A rearrangement inequality of the Orlicz centroid function for log-concave functions is obtained.The rearrangement inequality implies the Orlicz Busemann-Petty centroid inequality of Lutwak,Yang and Zhang[23].

关 键 词：centroid bodies Busemann-Petty centroid inequality log-concave functions Steiner symmetrization 

分 类 号：O186.5[理学—数学]