Some results and inequalities for (s,m)-convex function

This thesis consists of two chapters. In the first chapter, definitions, theorems and the birth of measurements that are widely known and used in the literature and Lebesgue integral that will be used in other chapters of the thesis are included. In the two chapter, some properties of the (𝑠, 𝑚)- convex functions in the first and second sense, defined on the interval [0, 𝑑] , 𝑑 > 0 and used in this thesis study, on the interval 𝑚 ∈ (0,1) are given. In addition, some integral inequalities have been studied for (𝑠, 𝑚)-convex functions and measurable space in the non-negative second sense. The results obtained were supported by examples.