Deferred cesaro and deferred statistical convergence of sequences

This thesis consists of five main chapters. In the first chapter, a general literature information is given about the importance of the thesis subject and its historical background. In the second chapter, definitions and theorems that form the basis for other chapters are included. In the third chapter, it is mentioned that deferred Cesa ̀ro convergence and deferred statistical convergence definitions are given theorems and proofs that examine the relationships between them. In the fourth chapter, it is indicated by determining that deferred almost convergence, strongly deferred almost convergence and deferred almost statistical convergence are defined and theorems and proofs that examine the relations between them. In the fifth chapter, it is provided that, almost asymptotic statistically equivalent sequence, deferred almost asymptotic equivalence, asymptotically deferred almost statistical equivalence, strong r-deferred almost asymptotic equivalence definitions and theorems that give the scope relations between them.