q-Cesaro matrix and q-statistical convergence

It is obvious that a q -analog of C α , the Cesáro matrix of order α , can be defined in different ways. In this paper we introduce a method to find q -analogs of C α , where α is a positive integer. Using this method, we obtain the most natural q -analogs of C α . We also prove that the strength of C 1 ( q k ) does not depend on q , where C 1 ( q k ) is the most natural q -analog of C 1 . Finally, we define a density function and q -statistical convergence using C 1 ( q k ) .