Hermite Hadamart type inequalities and on the h-convexity

In this thesis, it is viewed from a new perspective to the convex function which holds an important place in convex functions and thus reached to new theorems and conclusions. For this purpose at the first part of this thesis, some basic definitions and theorems in mathematics fields, some classes of convex functions, basic concepts related to the Hermite-Hadamard inequality for the first and second sense onvex functions were given.