摘要
定义了关于星体的非对称的Lp-径向差体,研究了其性质,建立了关于非对称Lp-径向差体的对偶均值积分的几个不等式.作为其特例,得到非对称Lp-径向差体体积的几个不等式.
The notion of asymmetric Lp-radial difference bodies about star bodies has been defined,and some of their properties have been studied.Some inequalities for dual quermassintegrals of asymmetric Lp-radial difference bodies have been established.In particular,some inequalities for the volumes of asymmetric Lp-radial difference bodies have been obtained.
作者
齐继兵
QI Jibing(College of Sciences,Shanghai University,Shanghai 200444,China;Department of Mathematics and Statistics,Hefei Normal University,Hefei 230601,China)
出处
《上海大学学报（自然科学版）》
CAS
CSCD
北大核心
2019年第4期493-501,共9页
Journal of Shanghai University:Natural Science Edition
基金
安徽省自然科学基金资助项目(1908085QA04)
关键词
星体
差体
均值积分
凸几何
star body
difference bodies
dual quermassintegrals
convex geometry
