Estimates of inequalities for convex functions

This thesis will focus on the estimations of some important inequalities associated with convex functions. This thesis has been prepared in five parts, the first part of this study is introductory and in the second part some definitions, theorems and important inequalities used in the preparation of the thesis are given. In the third chapter, Simpson's inequality and some of its applications are examined. In the fourth chapter, Jensen's inequality for parts of measurable space is examined. In the fifth chapter, which is the last part of the thesis, some results are proved and suggestions for further studies are given.