A-strongly statistical convergence in metric spaces

In this thesis, we introduce A-strongly statistical convergence in an (X,d) metric space and investigate relations between A-strong convergence and this new concept, where A is a nonnegative infinite matrix. Besides, for the uniqueness of the limits of A-strongly statistically convergent sequences, we obtain some conditions for the matrix A. In addition, we investigate the linearity in normed spaces and also regularity of this new concept of convergence in an arbitrary metric space. Finally, we introduce A-strongly statistical Cauchy sequence in metric spaces and give relation between A-strongly statistical convergence and it.