An investigation of Ostrowski type inequalities on time scales

Inequalities in mathematics have a wide range of application in calculating the estimated error limit of some specific methods, such as the midpoint, the trapezoid, and the Simpson rules, and in particularly in numerical analysis. That is why inequalities are a matter of time and effort that mathematicians have spent years developing and developing. In our thesis, we discussed the work of B.G. Pachpatte on Ostrowski type inequalities, which are widely used, and then the works of A. Tuna with I.B. Yaşar and at last C. Dinu (see [1], [2] and [3].) Firstly, in the first chapter, basic information about the time scale and related applications were taken for a better understanding of the subject. In the second chapter, we examined Ostrowski type inequalities in real numbers and gave some examples. We discussed Ostrowski type inequalities on the time scale in the third chapter. In the last chapter, we have obtained the general form of inequality by including the diamond-α weighted Ostrowski type inequalities on the time scale.