Integral inequalities for geometric convex functions on the co-ordinates

In this thesis, integral inequalities for geometric convex function on the coordinates was examined. In the first chapter of the study, convez function classes which defined in a lower range of real number and theorems about some basic examples of this class was devoted. Also some basic inequalities like Hölder and Power-mean referred to in this section, the hiyerarchy that was identified for convex function classes was emphasized. In the second chapter, convex function and integral inequalities on the coordinates was examined in detail and some integral equalities for double integrals, inequalities which obtained with the aid of this equalities and types of Hermite-Hadamart, Ostrowski, and Simpson inequalities which obtained for different types convex function on the coordinates was given. In the third chapter, new some integrals inequalities for geometric convex function on the coordinates was obtained. The aim of this thesis is working on geometric convex function on the coordinates and obtaining integral inequalities fort his functions' classes. Keywords: Convex fuctions, [Denklem]convex function, Hermite-Hadamard inequality, Hölder inequality, Power-mean inequality