On Statistical A^{I} and Statistical A^{I^{∗}}- Summability

Osama H.H. Edely

Abstract

In this paper we define statistical A^{I}- summability of x, that is, x is said to be statistically A^{I}- summable if Ax is I- statistically convergent. Moreover, we also introduce the concept of statistical A^{I^{∗}}- summability and find its relationship with statistical A^{I}- summability. Also we prove that under what conditions A^{I}- statistical convergence implies statistical A^{I}- summability.