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λ‐Statistical Convergence in Paranormed Space

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  • Mohammed A. Alghamdi
  • Mohammad Mursaleen

Abstract

The concept of λ‐statistical convergence for sequences of real numbers was introduced in Mursaleen (2000). In this paper, we prove decomposition theorem for λ‐statistical convergence. We also define and study λ‐statistical convergence, λ‐statistically Cauchy, and strongly λp‐summability in Paranormed Space.

Suggested Citation

  • Mohammed A. Alghamdi & Mohammad Mursaleen, 2013. "λ‐Statistical Convergence in Paranormed Space," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:264520
    DOI: 10.1155/2013/264520
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    References listed on IDEAS

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    1. Karakus, S. & Demirci, K. & Duman, O., 2008. "Statistical convergence on intuitionistic fuzzy normed spaces," Chaos, Solitons & Fractals, Elsevier, vol. 35(4), pages 763-769.
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