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Öğe Infinite matrices and ?-core(Walter de Gruyter GmbH, 2001) Çoşkun H.; Çakan C.The object of this paper is to obtain the necessary and sufficient conditions characterizing the class (V, V)reg of infinite matrices and to determine a class of (Vp, Vr)reg-matrices for which qa(Ax) < qix) for all x ? m. © 2001 Warsaw University. All rights reserved.Öğe On the ?(A)-summability and ?(A)-core(Walter de Gruyter GmbH, 2007) Kayaduman K.; Çoşkun H.In [6] and [9], the concepts of ?-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, using the concept of ?(A)-summability introduced by Savaş, we characterize the matrices of the classes (m, V?(A)), (c, V?(A))), (V?, VCT?(A)) and (S?m, V?(A))reg and determine necessary and sufficient conditions for a matrix B to satisfy ?(A) -core(Bx) ? K-core(x), ?(A) -core(Bx) ? ? - core(x) and ?(A) - core(Bx) ? st - core(x), for all x ? m. Copyright © 2018 by Walter de Gruyter GmbH.