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    \sigma-regular matrices and A \sigma- core theorem for double sequences
    (Hacettepe Journal of Mathematics and Statistics, 2009) Çakan, Celal; Altay, Bilal; Coşkun, Hüsamettin
    Abstract: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.