Hermite-Hadamard不等式的一个q-模拟

A q-analogue of Hermite-Hadamard inequality

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.