Various inequalities in coordinates via fractional integrals for s-convex functions in the fourth sense

In this thesis, convex functions on the rectangular region are investigated and various integral inequalities are obtained for these functions in coordinates. In the first chapter, the history of convex functions and inequality theory is briefly mentioned, and information about the existing studies in the literature is given. In the second chapter, basic definitions and concepts for convex functions are included, and then the relationship between convex function classes is mentioned. Basic definitions and concepts related to convex functions in coordinates, various integral inequalities and proof methods for these function classes are given in the third chapter. Then, in this section, a detailed literature information for integral inequalities in coordinates is presented. In the fourth chapter, firstly, a new integral equation is introduced, and then, with the help of this equation, results regarding new integral inequalities for convex functions on the rectangular region are obtained.