S-convex functions in the third sense and integral inequalities

In this thesis, new integral inequalities are obtained for s-convex functions in the third sense. This thesis consists of five chapters. In the first chapter, it is of great importance in the development of the concept of inequality. The development and history of the concept of convexity until today is mentioned.In the second part, a major contribution to the development of the concepts of Inequality and Convexity is presented books, theses and especially the articles that have been studied in recent years have been examined and researchers have resources are given. In the third chapter, basic definitions and theorems about inequality and convexity are given. The properties of some of the abstract convex function classes are mentioned. In the same section, the most important inequalities encountered in the literature are also included. In the fourth chapter, Classical convex functions, Quasi-convex functions, p-Convex functions, s-Convex in the first, second and third sense integral inequalities encountered in the literature for functions are given. After that,a Lemma has been written for integrable functions, with the help of this Lemma and known integral inequalities, new integral inequalities have been obtained. Also, some new integral inequalities have been obtained with the help well-known integral inequalities and a lemma which was written for n-th order integrable functions. In the fifth chapter, a general summary of the thesis is made and suggestions are given for researchers interested in convex analysis and integral inequalities.