Fejér type integral inequalities related with geometrically-arithmetically convex functions with applications
Keywords:Hermite–Hadamard inequality, Fejér inequality, convex function, GA-convex function, Hölder inequality, power mean inequality
A new identity involving a geometrically symmetric function and a differentiable function is established. Some new Fejér type integral inequalities, connected with the left part of Hermite–Hadamard type inequalities for geometrically-arithmetically convex functions, are presented by using the Hölder integral inequality and the notion of geometrically-arithmetically convexity. Applications of our results to special means of positive real numbers are given.