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

The statistical convergence of double sequences was presented byMursaleen-Edely and Tripathy in two ways, [10, 16]. The statisticalcore of double sequences was introduced by C¸ akan- Altay, [1]. Theσ-convergence and σ-core of double sequences were defined by C¸ akanAltay-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 offour-dimensional matrices.