SOME INEQUALITIES RELATED TO THE PRINGSHEIM, STATISTICAL AND σ-CORES OF DOUBLE SEQUENCES

The statistical convergence of double sequences was presented by Mursaleen-Edely and Tripathy in two ways, [10, 16]. The statistical core of double sequences was introduced by Cakan- Altay, [1]. The σ-convergence and σ-core of double sequences were defined by Cakan-Altay-Mursaleen, [5]. In this paper, we will study some new inequalities related to the Pringsheim, statistical and σ-cores of double sequences. To achieve this goal, we will characterize some classes of four-dimensional matrices.