摘要
本文利用经典的Popoviciu不等式和Orlicz-Minkowski混合体积不等式,建立了凸体的广义Orlicz等周不等式.这个新的Orlicz等周不等式在特殊情况下,分别产生了经典的等周不等式,L_(p)-等周不等式和Orlicz等周不等式.
We establish some generalized Orlicz isoperimetric inequalities of convex bodies by using the classical Popoviciu’s inequality and Orlicz-Minkowski inequality.The new Orlicz isoperimetric inequality in special case yields the classical isoperimetric inequality,L_(p)-isoperimetric inequality and Orlicz isoperimetric inequality,respectively.
作者
赵长健
Chang Jian ZHAO(Department of Mathematics,College of Science,China Jiliang University,Hangzhou 31001&P.R.China)
出处
《数学学报（中文版）》
CSCD
北大核心
2022年第3期513-522,共10页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金资助项目(11371334,10971205)。
