Hermite-Hadamard不等式推广的q-模拟  

The q-analogue of a Generalization of Hermite-Hadamard Inequality

作　　者：时统业[1] 李照顺[1] 夏琦[1] 

机构地区：[1]海军指挥学院信息系,南京211800

出　　处：《大学数学》2016年第3期30-36,共7页College Mathematics

摘　　要：利用凸函数和q-积分的定义和性质,给出Hermite-Hadamard不等式一个推广的q-模拟.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-模拟所产生的差式的估计.Starting from the definition and basic properties of convex functions and q-integral, the q-analogue of a generation 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：q-积分 q-导数 q-Hermite-Hadamard不等式 凸函数 

分 类 号：O178[理学—数学]