Statistical convergence in paranormed spaces

This study consists of four chapters. In the first chapter; basic definitions and theorems are given. In the second chapter, , , and spaces are defined in and properties of these spaces are introduced. In the third chapter; the notions of statistical convergence and -statistical convergence are examined and genaralized difference sequence spaces are introduced. In the fourth chapter; the relationship between - statistical convergence and - statistical Cauchy in paranormed spaces was examined and the basic definitions and theorems are given. Finally, the theorems related to -strongly p-Cesàro summability are given and they are proved. KEYWORDS: Density, statistical convergence, statistical Cauchy, paranormed space, -statistically convergence, - statistically Cauchy, -strongly p-Cesàro summability.