Simpson type integral inequalities for p-convex functions

This thesis is concerned with Simpson type inequalities for p-convex functions. In this thesis, firstly some basic definitions and theorems about convex, harmonic convex and p-convex functions are given. Then, after giving some Simpson type inequalities previously obtained in the literature for convex and harmonic convex functions, which are p-convex functions and special cases of these functions, a new identity for the derivatable functions is used in the thesis research findings, a basis for the p-convex function class New Simpson type inequalities were achieved.