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

S. A. Mohiuddine and Abdullah Alotaibi

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

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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https://doi.org/10.1155/2014/412974

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:412974

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