Statistically convergent sequences and series

This study consists of six chapters. The first chapter is devoted to the introduction part and in this chapter, the historical development of statistical convergence is given. In the second chapter, some basic concepts and results which are related to the subject are given. In the third chapter, we study the statistical convergence, the statistical boundedness and some generalizations of these concepts. In the fourth chapter, we study the strong p- Cesàro summability and investigate the relation between statistical convergence and strong p- Cesàro summability. In the fifth chapter, we investigate the statistical convergence of infinite number series which takes a few place in the literature. In the sixth chapter titled Results and Discussion, a comment related to the obtained results is given.