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Öz (İngilizce):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 inequal- ities related to the Pringsheim, statistical and σ-cores of double se- quences. To achieve this goal, we will characterize some classes of four-dimensional matrices.
