分形集上广义调和拟凸函数的一些积分不等式

Integral inequalities for generalized harmonically quasi-convex functions on fractal sets

给出了分形实线集R^a(0<a≤1)上广义调和拟凸函数的定义,并且建立了一些关于广义调和拟凸函数的推广的Hermite-Hadamard型和Simpson型积分不等式.最后给出了文中得到的积分不等式在分形实线上关于a型特殊均值的一些应用.

In this paper,the author introduces the concept of generalized harmonically quasi-convex functions on fractal sets R^a(0<a≤1) of real line numbers and establishes generalized Hermite-Hadamard and Simpson type inequalities for generalized harmonically quasi-convex functions.Some applications for a-type special means of real line numbers are given.