-convergence and a generalization of Knopp's core

Celal Çakan; Zeki Kasap

doi:10.1515/gmj.2010.021

Published by De Gruyter July 30, 2010

-convergence and a generalization of Knopp's core

Celal Çakan and Zeki Kasap

From the journal Georgian Mathematical Journal

https://doi.org/10.1515/gmj.2010.021

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Abstract

In this paper, based on -convergence, we introduce the -core of sequences of complex numbers and determine a class of matrices A for which the -core(Ax) is a subset of Knopp's core for all bounded sequences x.

Keywords.: -convergence; invariant means; core theorems and statistical convergence

Received: 2008-02-04

Revised: 2009-07-28

Published Online: 2010-07-30

Published in Print: 2010-September

-convergence and a generalization of Knopp's core

Abstract

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