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Generalized statistical convergence and statistical core of double sequences

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Abstract

In this paper we extend the notion of λ-statistical convergence to the (λ, µ)statistical convergence for double sequences x = (x jk ). We also determine some matrix transformations and establish some core theorems related to our new space of double sequences S λ,µ.

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Authors and Affiliations

  1. Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, India

    Mohammad Mursaleen & Syed Abdul Mohiuddine

  2. Faculty of Education, Inönü University, 44280, Malatya, Turkey

    Celal Çakan

  3. Department of Mathematics, Istanbul Ticaret University, Uskudar, 34672, Istanbul, Turkey

    Ekrem Savaş

Authors
  1. Mohammad Mursaleen
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  2. Celal Çakan
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  3. Syed Abdul Mohiuddine
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  4. Ekrem Savaş
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Corresponding author

Correspondence to Mohammad Mursaleen.

Additional information

The first author is supported by the Department of Science and Technology, New Delhi (Grant No. SR/S4/MS:505/07)

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Mursaleen, M., Çakan, C., Mohiuddine, S.A. et al. Generalized statistical convergence and statistical core of double sequences. Acta. Math. Sin.-English Ser. 26, 2131–2144 (2010). https://doi.org/10.1007/s10114-010-9050-2

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  • DOI: https://doi.org/10.1007/s10114-010-9050-2

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