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

Authors : Celal ÇAKAN, Bilal ALTAY, Hüsamettin COŞKUN

Pages : 115-123

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Publication Date : 2013-02-01

Article Type : Research Paper

Abstract :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.
Keywords : Double sequences, four dimensional matrices, core theorems and matrixtransformations