Statistical convergence of order 𝛂 on time scale

Statistical convergence has an important place in summability theory and functional analysis. In recent years, statistical convergence has been studied by many mathematicians and these studies have been moved on the time scale. In this study, first of all, basic definitions and theorems about statistical convergence and time scale are given. This thesis consists of five chapters. The first chapter is introduction. The second chapter is devoted to the literature review. In the third chapter, basic definitions and theorems, statistical convergence, time scale, λ- statistical convergence on time scale, statistical convergence of order α on time scale, lacunary statistical convergence on time scale are given. In the fourth chapter, consept of lacunary statistical convergence of order α on time scale is mentioned. Finally, in the fifth chapter the results about lacunary statistical convergence of order α on time scale are mentioned.