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Infinite matrices and sigma(A)-core

Kayaduman K., Furkan H.

Demonstratio Mathematica

2006

Vol. 39, nr 3

531-538

In [8], the concepts of sigma-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 Vsigma(A)-summabiIity introduced by Savas, we characterize the matrices of the class (Vmu, Vsigma(A))reg and determine necessary and sufficient conditions for a matrix B to satisfy qsigma(A) (Bx) C qmu(x) for all x is an element of m.