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On the statistical and σ-cores

Hüsamettın ÇoşkunCelal ÇakanMursaleen — 2003

Studia Mathematica

In [11] and [7], the concepts of σ-core and statistical core of a bounded number sequence x have been introduced and also some inequalities which are analogues of Knopp’s core theorem have been proved. In this paper, we characterize the matrices of the class ( S m , V σ ) r e g and determine necessary and sufficient conditions for a matrix A to satisfy σ-core(Ax) ⊆ st-core(x) for all x ∈ m.

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