A NEW APPROACH TO THE CONCEPT OF AI-STATISTICAL CONVERGENCE WITH THE NUMBER OF ALPHA

Following a very recent approach, we generalize recently introduced summability method, namely, I-statistical convergence. We use an infinite matrix of complex numbers and an alpha number to do this generalization. We call this new convergence as A(I)-statistical convergence of order a with respect to a sequence of modulus functions. We also define two new spaces by using strong convergence and Cesaro summability and after giving these descriptions, we investigate their relationship and we obtain some results.