Hermite-Hadamard不等式的一个q-模拟  

A q-analogue of Hermite-Hadamard inequality

作　　者：时统业[1] 陈正义 SHI Tong-ye;CHEN Zheng-yi(Department of Information,PLA Naval Command College,Nanjing,211800,China)

机构地区：[1]海军指挥学院信息系,江苏南京211800

出　　处：《周口师范学院学报》2018年第2期9-13,共5页Journal of Zhoukou Normal University

摘　　要：利用凸函数和q-积分的定义和性质,给出一个新的q-Hermite-Hadamard型不等式.分别在q-导数的绝对值是凸函数、q-导数有界这两种情况下,给出由此q-模拟的右端部分所产生的差式的估计.Starting from the definition and basic properties of convex functions and q-integral,a new q-analogue of Hermite-Hadamard inequality is obtained.The estimates of the difference generated by the q-analogue are given when the absolute value of q-derivative is convex function or q-derivative is bounded.

关 键 词：HERMITE-HADAMARD不等式 凸函数 q-积分 q-导数 积分不等式 

分 类 号：O178[理学—数学]