Orlicz混合宽度积分  

On Orlicz Mixed Width Integral

作　　者：杨林 唐孝国 谭杨[1] 罗淼 YANG Lin;TANG Xiaoguo;TAN Yang;LUO Miao(School of information technology, Tongren Polytechnic College, Tongren Guizhou 554300, China;School of Mathematics Science, Guizhou Normal University, Guiyang 550025, China)

机构地区：[1]铜仁职业技术学院信息工程学院,贵州铜仁554300 [2]贵州师范大学数学科学学院,贵阳550025

出　　处：《西南师范大学学报（自然科学版）》2022年第6期52-57,共6页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：2019年度贵州省基础研究计划项目(黔科合基础[2019]1228号);铜仁市科技计划项目(铜仁市科研[2020]116号).

摘　　要：基于Brunn-Minkowski理论中混合体积的Orlicz-Aleksandrov-Fenchel不等式与Orlicz混合宽度积分的探究,利用Jensen不等式建立了Orlicz混合宽度积分的Orlicz-Minkowski不等式与Orlicz-Brunn-Minkowski不等式.当φ(x,y)=x^(-p)+y^(-p)时即为L_(p)混合宽度积分的L_(p)-Minkowski不等式与L_(p)-Brunn-Minowski不等式.Based on the Orlicz-Aleksandrov-Fenchel inequality and the Orlicz mixed width integral of the Brunn-Minkowski theory,the Orlicz-Minkowski inequality and Orlicz-Brunn-Minkowski inequality of Orlicz mixed width integral are established by Jensen's inequality.Whenφ(x,y)=x^(-p)+y^(-p),the corresponding inequality of Orlicz mixed width integral to L_(p)-Minowski inequality and L_(p)-Brunn-Minkowski inequality of L_(p) mixed width integral.

关 键 词：Orlicz混合宽度积分 Orlicz-Aleksandrov-Fenchel不等式 Orlicz-Minkowski不等式 Orlicz-Brunn-Minkowski不等式 

分 类 号：O186.5[理学—数学]