Statistical convergence of order β. of fractional difference sequences

In this thesis; some array spaces identified with the help of fractional difference operators. In the first chapter; the introduction was given. In the second section; source research on the subject was done. In the third chapter; the basic concepts to be used in the study, the definition and theorems about statistical convergence and the related definitions and theorems were given. In the first part of the fourth chapter, the definition of statistical convergence of order β and the relation of inclusion according to the status of β were examined. In the second part of forth chapter the definition of -statistical convergence of order β was given and the relations of inclusion were examined.. In the last section, results and suggestions were given. Keywords: Cesàro Summability, Fractional difference operator, Statistical convergence.