Some integral inequalities on the time scale and applications

Time scale is a topic that has been widely used in other branches of mathematics recently. This field of study has a wide range of applications. In this thesis, in the chapter called Theoretical Fundamentals, the concept of time scale, its basic properties and the analysis of delta derivative , nabla derivative, diamond-α derivative, delta integral concepts on time scales are given. In the Materials and Methods section, the definition of the convex function and the time scale versions and applications of Hölder, Minkowski, Cauchy-Schwarz, Jensen and Ostrowski inequalities are given. In the Findings part, Ostrowski and Jensen type inequalities are given with their proofs and their applications.