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Double sequences and Orlicz functions

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Abstract

In this paper we define strong A-convergence with respect to an Orlicz function for double sequences. We show, on bounded double sequences, that statistical convergence and strong A-convergence with respect to any Orlicz function are equivalent. This eliminates a condition of Demirci for bounded single (ordinary) sequences.

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Authors and Affiliations

  1. Department of Mathematics Faculty of Science, Ankara University Tandoğan, 06100, Ankara, Turkey

    T. Yurdakadim & E. Tas

Authors
  1. T. Yurdakadim
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  2. E. Tas
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Correspondence to T. Yurdakadim.

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Communicated by Dénes Petz

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Yurdakadim, T., Tas, E. Double sequences and Orlicz functions. Period Math Hung 67, 47–54 (2013). https://doi.org/10.1007/s10998-013-6362-x

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  • DOI: https://doi.org/10.1007/s10998-013-6362-x

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