Λ - statistical limitation of cluster sequences

In this thesis study, the purpose of the thesis and the development of the subject are explained in the introduction section. Some basic concepts needed to make our study more understandable are given. The λ-statistical convergence of real number sequences is mentioned. For cluster sequences, the concepts of Kuratowski statistical convergence, Wijsman statistical convergence and Hausdorff statistical convergence and the relations between these concepts are given. In the main section, the λ-statistical limitation of cluster sequences is defined, and the relations between the λ-statistical convergence of cluster sequences and the λ-statistical limitation of cluster sequences are given