Statistical convergence on time scales

In this thesis, we investigate the statistical convergence of real-valued and ?-measurable functions defined on time scales and we obtain some characterizations for this convergence method. Our results obtained in this study not only includethe previous statistical convergence methods in the literature but also enable some aplication areas for various new methods.This thesis consists of four chapters. The first chapter is devoted to the introduction. In the second chapter, we recall some basic denitions and theorems regarding the theory of time scales and statistical convergence. In the thirdchapter that includes our original results, we construct the statistical convergence of a function defined on a time scale and investigate under which conditions this convergence holds. In the last chapter, we discuss the outputs of the thesis andthe future projects improving this topic.