Integral inequalities for r-convex functions

This thesis study, which is prepared on inequalities for r-convex functions, consists of five chapters. The first chapter is organized as an introduction and in this chapter, information on the history of the convexity and inequality is presented. The second section contains some basic information and some previously obtained inequalities for r-convex functions that will provide a better understanding of the next chapters. The third chapter contains two basic lemmas to be used when deriving integral inequalities for the class of r-convex functions. The fourth chapter consists of the integral inequalities obtained for the first and second order differentiable r-convex functions. The last section, the fifth section, is the conclusion and recommendations section.