Hermite-Hadamard type integral inequalities for different types of g-dominated preinvex functions

This thesis study consists of six chapters and the first two chapters include the historical development of the subject. In the third chapter different types of convex, g-dominated convex and pre-invex function classes are introtuced and examples are introduced and examples are presented in the fourth section Hermite-Hadamard type inequalities in the literature are presented for the function classes given in previous section. In the fifth chapter new function classes are defined by considering are defined by considering different types of g-dominant convex and pre-invex function classes together. New Hermite-Hadamard type integral inequalities have been generated using these new classes. In the last part, the originality and importance of the thesis are discussed.