调和拟凸函数带参数的Hadamard型分数次积分不等式

Hadamard Type Fractional Integral Inequalities with Parameter for Harmonically Quasi-convex Functions

先建立一个带参数的Riemann-Liouville分数次积分恒等式,再根据该恒等式,利用幂均不等式和Hlder不等式建立一些涉及Riemann-Liouville分数次积分,并关于调和拟凸函数且带参数的Hermite-Hadamard型分数次积分不等式。

First,the author established a Riemann-Liouville fractional integral identity with parameter. Then,according to the identity,some Hermite-Hadamard type fractional integral inequalities with parameter for harmonically quasi-convex functions invo lving Riemann-Liouville fractional integral were established by using power mean inequality and H lder inequality.