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

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  • S. A. Mohiuddine
  • Abdullah Alotaibi

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.

Suggested Citation

  • S. A. Mohiuddine & Abdullah Alotaibi, 2014. "Almost Conservative Four‐Dimensional Matrices through de la Vallée‐Poussin Mean," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:412974
    DOI: 10.1155/2014/412974
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    References listed on IDEAS

    as
    1. Kuddusi Kayaduman & Celal Çakan, 2011. "The Cesáro Core of Double Sequences," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    2. S. A. Mohiuddine & Abdullah Alotaibi, 2013. "Some Spaces of Double Sequences Obtained through Invariant Mean and Related Concepts," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-11, April.
    3. S. A. Mohiuddine & Abdullah Alotaibi, 2013. "Some Spaces of Double Sequences Obtained through Invariant Mean and Related Concepts," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    4. Kuddusi Kayaduman & Celal Çakan, 2011. "The Cesáro Core of Double Sequences," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-9, August.
    Full references (including those not matched with items on IDEAS)

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