s-Regular Matrices and a s-Core Theorem for Double Sequences

Authors : C. ÇAKAN, B. ALTAY, H. COŞKUN

Pages : 51-58

View : 18 | Download : 5

Publication Date : 2009-01-01

Article Type : Research Paper

Abstract :The famous Knopp Core of a single sequence was extended to the Pcore 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
Keywords : Double sequences, Invariant means, Core theorems and matrix transformations, 2000 AMS Classification 40 C 05