On the A-statistical core of sequences of complex numbers

Abstract

In [4], the concept of A-statistical core of a sequence of complex numbers was introduced and necessary and sufficient conditions were given for a summability matrix T to satisfy K-core(Tx) ⊆ st_A-core(x) whenever x is a bounded complex sequence. In the present paper, we determine the classes of summability matrices T such that st_A-core(Tx) ⊆ K-core(x) and st_A-core(Tx) ⊆ st_B-core(x) for all bounded complex sequences x.