q- Cesàro matrix and associated sequence spaces

In this thesis, which consists of three chapters, the sequence spaces [c ̃ ],[c ̃_0 ],[l ̃_p ] and[l ̃_∞ ], defined by the c,〖 c〗_0,〖 l〗_p and l_∞ action domains of the q- Cesàro matrix, have been studied. The introduction provides foundational concepts about sequence spaces as well as an overview of significant work conducted in this area. In the first chapter, the fundamental definitions and theorems used throughout the thesis are presented. The second and third chapters introduce and examine in detail the sequence spaces [c ̃ ],[c ̃_0 ],[l ̃_p ] and [l ̃_∞ ], which are defined by the c,〖 c〗_0,〖 l〗_p and l_∞ action domains of the q- Cesàro matrix. Additionally, the algebraic and topological properties of these spaces are analyzed.