Application of generalized fractional integrals to integral inequalities

This thesis is based on Simpson type inequalities and the midpoint type of Hermite-Hadamard inequality for tempered fractional integrals. The first chapter deals with the history and importance of inequalities, convex functions and fractional integrals. In the second chapter, preliminary information about the general concepts mentioned throughout the thesis is given. Also, general information about the Riemann-Liouville and tempered fractional integrals are given. In the third chapter, midpoint type inequalities and Simpson type inequalities for functions with finite second derivative are obtained with the help of tempered fractional integrals. In the last section, the results of the studies are evaluated.