HG-凸函数的加权积分不等式

Weighted integral inequalities for HG-convex functions

已有文献建立了HG-凸函数的Hermite-Hadamard型不等式,利用HG-凸函数与其它类型凸函数的联系,或者从HG-凸函数的定义出发,给出这些不等式的加权推广。

Hermite-Hadamard type inequalities for HG-convex functions are established in the existing literature. This paper gives weighted generalizations of these inequalities by using the relations between HG-convex functions and other types of convex functions, or staring from the definition of HG-convex functions.