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.
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)
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)。
关键词
支撑函数
曲率
曲率积分不等式
曲率熵不等式
support function
Affine Isoperimetric Inequality
curvature
integral inequality for curvature
entropy inequality for curvature
