广义L_(p)-混合弦长积分的Brunn-Minkowski型不等式与逆循环不等式  

Brunn-Minkowski Type Inequalities and Inverse Cyclic Inequality of General L_(p)-Mixed Chord Integrals

作　　者：张琰 孙明保[1] ZHANG Yan;SUN Mingbao(School of Mathematics,Hunan Institute of Science and Technology,Yueyang 414006,China)

机构地区：[1]湖南理工学院数学学院,湖南岳阳414006

出　　处：《湖南理工学院学报（自然科学版）》2023年第1期1-5,共5页Journal of Hunan Institute of Science and Technology(Natural Sciences)

基　　金：湖南省教育厅科学研究项目(20A217)。

摘　　要：研究凸几何分析中星体的广义L_(p)-混合弦长积分,建立关于广义L_(p)-混合弦长积分的两类Brunn-Minkowski型不等式和一类逆循环不等式.The general L_(p)-mixed chord integrals of star bodies were studied in Convex Geometry Analysis.Two BrunnMinkowski type inequalities and an inverse cyclic inequality for the general L_(p)-mixed chord integrals were established respectively.

关 键 词：广义L_(p)-混合弦长积分 HOLDER不等式 MINKOWSKI不等式 BRUNN-MINKOWSKI不等式 

分 类 号：O123.2[理学—数学]