Deferred arithmetic statistical convergence

This thesis consists of five chapters. In the first section, general information is given about previous studies in the literature on the subject. In the second part, under the title of "Basic Definitions and Theorems", the concepts of Deferred Cesàro convergence, Deferred statistical density, Deferred statistical convergence, arithmetic statistical convergence and arithmetic statistical continuity are introduced. In the third chapter, the original results obtained in our thesis are presented. In this context, the concept of Deferred arithmetic statistical convergence is defined and its basic properties are examined. In addition, the concept of Deferred arithmetic statistical continuity was defined and some results related to this concept were reached. In the fourth section, new study suggestions that will contribute to the field are given in line with the findings. In the fifth chapter, the sources used in the thesis are listed.