Almost Conservative Four-Dimensional Matrices through de la Vallée-Poussin Mean

S. A. Mohiuddine and Abdullah Alotaibi

Abstract and Applied Analysis, 2014, vol. 2014, 1-6

Abstract:

The purpose of this paper is to generalize the concept of almost convergence for double sequence through the notion of de la Vallée-Poussin mean for double sequences. We also define and characterize the generalized regularly almost conservative and almost coercive four-dimensional matrices. Further, we characterize the infinite matrices which transform the sequence belonging to the space of absolutely convergent double series into the space of generalized almost convergence.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:412974

DOI: 10.1155/2014/412974

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