Integral inequalities for strongly convex functions

This thesis study, which is prepared on inequalities for strongly convex functions with the help of Atangana-Baleanu fractional integral operators, consists of five chapters. In the first chapter, which is the introduction, the historical development of the theory of inequalities, the theory of convex functions and the theory of fractional analysis is briefly mentioned. In the second chapter, important definitions and inequalities that constitute the source of the thesis study are given. This chapter also covers some of the important inequalities previously obtained for strongly convex functions. In the third chapter, two lemmas including Atangana-Baleanu integral operators to be used in obtaining inequalities for strongly convex functions are introduced. The fourth chapter contains the results obtained with the help of Atangana-Baleanu integral operators for strongly convex functions. The fifth chapter, which is the last part of the study, is the conclusions and recommendations section in which a brief evaluation of the thesis study is made and some suggestions are presented.