Statistical and lacunary statistical convergence of matrix sequences

This thesis study consists of six chapters. In the first chapter, the historical development of the subject of the study is mentioned. In the second chapter, some basic concepts necessary to make the study more understandable are given. In the third chapter, the convergence of matrix sequences and matrix norms are analyzed. In the fourth chapter, the statistical convergence of matrix sequences and related theorems are presented. In the fifth chapter, the lacunary statistical convergence of matrix sequences is defined and the related theorems are proved. In addition, the concepts of strong Cesàro summability, strong lacunary convergence, and strong lacunary q-Cesàro summability for matrix sequences are introduced, and the relationships between these concepts are explained through theorems. In the last chapter, the references used during the study are listed.