由Hermite-Hadamard不等式的一个推广形式所生成的不等式  

Inequalities Generated by a Generalized Form of Hermite-Hadamard Inequality

作　　者：时统业[1] 董芳芳[1] SHI Tongye;DONG Fangfang(PLANaval Command College,Nanjing 211800,China)

机构地区：[1]海军指挥学院,江苏南京211800

出　　处：《湖南理工学院学报（自然科学版）》2024年第1期1-6,共6页Journal of Hunan Institute of Science and Technology(Natural Sciences)

摘　　要：考虑由一个推广的Hermite-Hadamard不等式的右边部分的连续加细所生成的两个差函数.引入参数求最值的方法,在Lipschitz条件下给出了关于这两个差函数的不等式.In this paper,we consider two difference functions generated by a continuous refinement of the right-hand side of a generalized Hermite-Hadamard inequality.By using the method of introducing a parameter to find the minumum value,inequalities involving these two difference functions are established under Lipschitz condition.

关 键 词：Hermite-Hadamard型不等式 LIPSCHITZ条件 凸函数 加强 

分 类 号：O178[理学—数学] O174.13[理学—基础数学]