由GA-凸函数的Hadamard型不等式生成的差值的估计

Estimation of the Difference Generated by Hadamard Type Inequality for GA-convex Functions

考虑由GA-凸函数的Hadamard型不等式右端部分生成的差值,将这个差值表示为涉及导函数的积分,然后结合Grüss积分不等式、Hlder积分不等式以及凸函数的定义给出这个差值的估计.

This paper analyses the difference generated by the right side of Hadamard type inequality for GAconvex functions,derives the integral expression of the difference,and gives some estimates of the difference by using Grüss＇ inequality,Hlder＇inequality,and the definition of convex functions.