A-statistical core of a sequence

In this paper we extend the concepts of statistical limit superior and interior (as introduced by Fridy and Orhan) to A-statistical limit superior and inferior and give some A-statistical analogue of properties of statistical limit superior and inferior for a sequence of real numbers. Also we extend the concept of statistical core to A-statistical core and get necessary and sufficient conditions on a matrix T so that the Knopp core of Tx is contained in the A-statistical core of a bounded complex number sequence x.