Rough statistical convergence and rough ideal convergence of difference double sequences

This master thesis consists of five chapters. In the first section, the historical process of the studies and developments in the theory of summability theory is mentioned. In the second section, some significant definitions and notations are given. In the third section, the concept of rough statistical convergence of a difference double sequence is defined and features of this concept are examined. In the fourth section, rough ideal convergence and rough -statistical convergence were investigated for the different double sequences, and analyze the results with proofs. In the last section, there are results and suggestions.