This paper introduces a method to establish the first Hermite-Hadamard-Fejé type inequality,and illustrates this method by establishing the first Hermite-Hadamard type inequality of GA-convex functions.With this method,the first Hermite-Hadamard-Fejér type inequalities of two classes of convex functions are established.The first Hermite-Hadamard-Fejér type inequalities of η-convex functions and generalized geometrically convex functions are also obtained as particular cases.

%U https://zkxb.jsu.edu.cn/EN/10.13438/j.cnki.jdzk.2019.01.001