On statistical and λ-statistical convergence in n-normed spaces

This thesis consists of six chapters. In the rst chapter, historical development of re- lated notions of the thesis subject was mentioned. In the second chapter, some basic de nitions, notions, examples and theorems related to study were given. In the third chapter, de nitions, concepts, and theorems related to 2-normed spaces were given and some important properties about 2-normed spaces were examined. In the fourth chapter, the concepts, de nitions and theorems related to n-normed spaces were given and some important properties about n-normed spaces were investigated. In the ve chapter, introducing the concept of statistical convergent in n-normed spaces, some properties, theorems with proofs and some examples of this concept were given. Also, the concept of Cauchy sequence in n-normed spaces was de ned and relationships be- tween this concept and statistical convergent was examined. In the six chapter, the concepts of -statistical convergent, (C; 1)-summability and (V; )-summability were given and relationships between them were investigated. Key Words : 2-normed spaces, n-normed spaces, statistical convergence, statistical Cauchy sequence, -statistical convergence.