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(İnönü Üniversitesi, 1992) Çoşkun, Hüsamettin
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sigma-regular matrices and A sigma- core theorem for double sequences
(2009) Çakan, Celal; Çoşkun, Hüsamettin; Altay, Bilal
The famous Knopp Core of a single sequence was extended to the P- core of a double sequence by R.F. Patterson. Recently, the MR-core and σ-core of real bounded double sequences have been introduced and some inequalities analogues to those for Knoop’s Core Theorem have been studied. The aim of this paper is to characterize a class of four-dimensional matrices, and so to obtain necessary and sufficient conditions for a new inequality related to the P- and σ-cores.
Some inequalities related to the pringsheim, statistical and ?-cores of double sequences
(Hacettepe Journal of Mathematics and Statistics, 2013) Çakan, Celal; Altay, Bilal; Çoşkun, Hüsamettin
Öz: Başlık (İngilizce): 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.