Matrix maps of statistically convergent sequences

Let A and D be two nonnegative regular matrices, and B be an arbitrary infinite matrix. We give the sufficient/necessary conditions under which the matrix map B sends A-statistically convergent bounded sequences to D-statistically convergent sequences. These give nice additions to the work of Fridy and Khan. We also provide the limit formula for such a map and evaluate the corresponding operator semi-norm. Our results generalize many well-known results.