Various integral inequalities for the exponentially m-convex function class

In this thesis, exponential convex functions are examined and exponential m-convex func tions are introduced as a new class of functions. Based on this definition, various integral inequalities are obtained. In the first part, Introduction, some information is given about the history of convex functions and the studies on exponential convex and different types of exponential convex function classes. In the second part, Theoretical Fundamentals, defini tions of convex functions, exponential convex, exponential m-convex functions and various integral inequalities are given. In the third part, Materials and Methods, lemmas related to exponential convex and exponential m-convex function classes and theorems that have been proven previously. In the fourth section, Research Findings, a new exponential m-convex function definition is given, and its theorems and proofs containing various integral inequ alities are given.