Merve Avcı Ardıç - Adıyaman University, Faculty of Science and Arts, Department of Mathematics, Adıyaman, Turkey.
Ahmet Akdemir - Ağrı İbrahim Çeçen University, Faculty of Science and Letters, Department of Mathematics, ۰۴۱۰۰, Ağrı, Turkey.
Erhan Set - Ordu University, Faculty of Science and Letters, Department of Mathematics,Ordu, Turkey.

In this study, new Hermite-Hadamard type inequalities are generated for geometric-arithmetic functions with the help of an integral equation proved for differentiable functions. In proofs, some classical integral inequalities, such as H\"{o}lder's inequality, basic definitions and known mathematical analysis procedures are used. The third part of the study includes various applications confirming the accuracy of the generated results. A brief conclusion of the study has been given in the last part of the paper.

Mean function, Special means, GA-convex functions, Holder's inequality