Core Theorems in The Generalized Statistical Sense

Abstract

The main purpose of the paper is to give some results concerning with the generalized statistical core ofa bounded sequence via B-statistical convergence where B = (Bi) is a sequence of infinite matrices. We characterizethe matrix class (stB ∩X, Y) for certain sequence spaces X and Y. Here stB is the set of all B-statistically convergentsequences. Finally we answer the multipliers and factorization problem for B-statistically convergent sequences.