Chebyshev-Grüss type inequalities and application

This thesis on Chebyshev and Grüss type inequalities consists of four chapters. In the first part, inequalities and their historical development of the inequalities are given briefly, and some inequalities known in the literature are mentioned. In the second part, the general concepts related to inequalities and Grüss inequality are expressed, and convex function, absolute continuity, Hölder's inequality for integrals, existence theorem of Lebesque integral and Grüss inequality with many definitions are defined. In the third part, the weighted Grüss integral inequality is given as proof with the help of the definitions and properties given in the second part. In the fourth chapter, generalizations of integral inequalities of type Chebyshev-Grüss are made.