On some new inequalities for s-convex functions

This thesis is based on Integral Inequalities with the convex functions and application of convex functions which is frequently used in the Applied Mathematics and theory of Functional Analysis. At the introduction, it is emphasizes the importance of convex functions and inequalities. In the second chapter; Convex set and convex function are introduced which are using In the mathematical programming, various fields of engineering and optimization theories and generalized convexity concepts are mentioned that is well known as a fi-convexity and s-convexity. It also mentions the historical process of the studies on the concepts that are in this section. When we go through the third section, the basic definitions and theorems which are used in the literature and which are well known and prepared are included. In the fourth part, new results are obtained for the s-convexity of the Hermite-Hadamard type inequalities on the right and left sides. Suggestions for evaluations of the results found in the results section and suggestions for the work that can be done to the reader are presented.