Generalized Almost Convergence and Core Theorems of Double Sequences

S. A. Mohiuddine and Abdullah Alotaibi

Abstract and Applied Analysis, 2014, vol. 2014, 1-7

Abstract:

The idea of -almost convergence (briefly, -convergence) has been recently introduced and studied by Mohiuddine and Alotaibi (2014). In this paper first we define a norm on such that it is a Banach space and then we define and characterize those four-dimensional matrices which transform -convergence of double sequences into -convergence. We also define a -core of and determine a Tauberian condition for core inclusions and core equivalence.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:152910

DOI: 10.1155/2014/152910

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