Logarithmic statistical convergence of fractional order difference sequences

This thesis study consists of six chapters. The first chapter discusses previous studies concerning the subjects examined in this thesis. The second chapter provides fundamental definitions necessary for understanding the study more clearly. The third chapter introduces the definition and general characteristics of fractional order difference sequence spaces, as well as the statistical convergence and strong Cesàro summability concepts for fractional order difference sequences. The relationships between these concepts are explained through examples and theorems. The fourth chapter discusses the logarithmic density concept for real sequences and the logarithmic statistical convergence and strongly logarithmic summability concepts based on this concept. In the fifth chapter, the concept of logarithmic statistical convergence for fractional order difference sequences is handled and also, definitions and theorems based on these definitions are presented in an original way. The final section presents the references utilized in this thesis.