Generalized integral inequalities for convex function

This thesis is about generalized Hermite-Hadamard and Fejer type inequalities obtained with the help of convex and s-convex functions. The first part of this study, which is prepared as six chapters, is an introduction and in the second chapter some definitions and theorems used in the preparation of the thesis are given. In the third chapter, some Hermite-Hadamard type inequalities in the literature is presented. In the fourth chapter, Fejer type inequalities is examined for the product of convex and s-convex functions. In the fifth chapter, some Fejer type inequalities including Riemann-Liouville fractional integrals is established with the help of the inequalities that are proved in the fourth chapter. In the sixth chapter that is the final section of the thesis, some conclusions and some directions for future researches are given.