一类新的曲率积分不等式  

On a New Class of Integral Inequalities for Curvature

作　　者：马磊 罗庆仙 徐镇猛 MA Lei;LUO Qingxian;XU Zhenmeng(School of Sciences, Guangdong Maoming Preschool Normal College, Maoming 525200, China)

机构地区：[1]广东茂名幼儿师范专科学校理学院,广东茂名525200

出　　处：《广东石油化工学院学报》2022年第1期65-68,73,共5页Journal of Guangdong University of Petrochemical Technology

基　　金：广东省普通高校特色创新项目(2020KTSCX358)。

摘　　要：研究了一类加权型的曲率积分不等式,利用仿射微分几何中分析形式的仿射等周不等式,得到了一类分析形式的积分不等式,应用此类积分不等式从而得到了一类关于凹函数的曲率积分不等式。The inequality of the integral of the curvature of a weight type is studied by using the Affine Isoperimetric Inequality of analytical form in affine differential geometry,and a class of integral inequalities in analytical form is obtained.As a direct application of this kind of integral inequality,a class of curvature integral inequalities for concave functions is obtained.

关 键 词：支撑函数 曲率 曲率积分不等式 曲率熵不等式 

分 类 号：O186.1[理学—数学]