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Lacunary statistically convergent double sequences in probabilistic normed spaces

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Abstract

In this paper, we introduce the concepts of double lacunary statistically convergent and double lacunary statistically Cauchy sequences in probabilistic normed spaces. We have also demonstrated through an example how to check the lacunary statistical convergence of a sequence in probabilistic normed space.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah, 21589, Saudi Arabia

    S. A. Mohiuddine

  2. Department of Mathematics, Istanbul Ticaret University, Uskudar, Istanbul, Turkey

    E. Savaş

Authors
  1. S. A. Mohiuddine
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  2. E. Savaş
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Correspondence to S. A. Mohiuddine.

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Mohiuddine, S.A., Savaş, E. Lacunary statistically convergent double sequences in probabilistic normed spaces. Ann Univ Ferrara 58, 331–339 (2012). https://doi.org/10.1007/s11565-012-0157-5

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  • DOI: https://doi.org/10.1007/s11565-012-0157-5

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