On statistical convergence of difference double sequences of fractional order

The aim of this study is to explore the relationship between statistical convergence, double ∆^α ̃ -(λ,μ)-statistical convergence, Cesaro, p-strongly Cesaro, De la Vallée-Poussin, p-strongly De la Vallée-Poussin summability in statistical convergence of difference double sequence of fractional order via giving their definitions and to expand the definition of statistical convergence. This thesis insists of five chapters. The first chapter is reserved for the introduction. In this chapter, the aim of the thesis is given by giving general information about the subject of the thesis and the following chapters are mentioned. In the second chapter, the source research is included. In the third chapter, some basic definitions and theorems are given to illuminate the findings section. In the fourth chapter, on statistical convergence of difference double sequences of fractional order and the double ∆^α ̃ -(λ,μ) - statistical convergence definitions and examples and theorems are given. In the last chapter, some results were reached and suggestions were made about the area that can be studied in the future.