Integral inequalies for convex, s-convex in the second sense and r-convex functions

In this thesis, integral inequalities for convex functions, s-convex functions in the second sense and r-convex functions were obtained. The first part of the thesis is reserved for entry and in this section, information on the history of convexity and inequality is presented. In the second part, convex function, s-convex function in the second sense, generalized s-convex function and r-convex function classes are introduced and some specific information is presented for these classes. In addition, in this section definitions of Euler Gamma, Beta, incomplete Beta function and some special inequalities are presented. In the third section, first, Hermite-Hadamard, Ostrowski and Simpson inequalities which have an important place in the literature are given. Then, some inequalities in literature are presented for the convex function classes to be used in the thesis study. Finally, the lemmas used as a basis for obtaining integral inequalities for these convex function classes are mentioned. In the fourth section, integral inequalities for convex, s-convex in the second sense and r-convex functions are obtained.