Some integral inequalities for symmetric p-convex functions

In this thesis, new inequalities and generalizations have been made especially for p convex functions. In the first part, the inequality theory, the history of convex functions, the theory of convexity are given. In the second part, the basic concepts, definitions, theorems and proofs for the theoretical foundations of the thesis are given and the relation of the convex function classes with each other is supported by the literature. In the third part, theorems which contain the classical inequalities used in the thesis study, the proofs and some inequalities which constitute the theoretical basis are given. In the fourth chapter, new inequalities related to products of functions which is a more general form of the class of symmetric convex functions are obtained. The inequalities obtained have been shown to be compatible with the literature.