Some Fej´er Type Integral Inequalities for Geometrically-Arithmetically-Convex Functions with Applications

Abstract

In this paper, the notion of geometrically symmetric functions is introduced. A new identity involving geometrically symmetric functions is established, and by using the obtained identity, the Hölder integral inequality and the notion of geometrically-arithmetically convexity, some new Fejér type integral inequalities are presented. Applications of our results to special means of positive real numbers are given as well.