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Some Spaces of Double Sequences Obtained through Invariant Mean and Related Concepts

Author

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  • S. A. Mohiuddine
  • Abdullah Alotaibi

Abstract

We introduce some double sequences spaces involving the notions of invariant mean (or -mean) and -convergence for double sequences while the idea of -convergence for double sequences was introduced by Çakan et al. 2006, by using the notion of invariant mean. We determine here some inclusion relations and topological results for these new double sequence spaces.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jnlaaa:507950
    DOI: 10.1155/2013/507950
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    Cited by:

    1. S. A. Mohiuddine & Abdullah Alotaibi, 2014. "Generalized Almost Convergence and Core Theorems of Double Sequences," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. M. De la Sen, 2013. "On a Class of Self‐Adjoint Compact Operators in Hilbert Spaces and Their Relations with Their Finite‐Range Truncations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    3. S. A. Mohiuddine & Kuldip Raj & Abdullah Alotaibi, 2014. "On Some Classes of Double Difference Sequences of Interval Numbers," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    4. S. A. Mohiuddine & Kuldip Raj & Abdullah Alotaibi, 2014. "Some Paranormed Double Difference Sequence Spaces for Orlicz Functions and Bounded‐Regular Matrices," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    5. 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).
    6. M. Mursaleen & Sunil K. Sharma & S. A. Mohiuddine & A. Kılıçman, 2014. "New Difference Sequence Spaces Defined by Musielak‐Orlicz Function," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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