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Tauberian theorems for statistically (C, 1, 1) summable double sequences

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Abstract

In this paper, we obtain some Tauberian conditions in terms of slow oscillation and slow decreasing in certain senses, under which convergence of a double sequence in Pringsheim’s sense follows from its statistical (C, 1, 1) summability.

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Acknowledgements

This study is supported by Ege University Scientific Research Projects Coordination Unit. Project Number 513.

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Authors and Affiliations

  1. Department of Mathematics, Ege University, Izmir, Turkey

    Zerrin Önder & İbrahim Çanak

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  1. Zerrin Önder
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  2. İbrahim Çanak
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Correspondence to İbrahim Çanak.

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Önder, Z., Çanak, İ. Tauberian theorems for statistically (C, 1, 1) summable double sequences. Positivity 23, 891–919 (2019). https://doi.org/10.1007/s11117-019-00643-x

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  • DOI: https://doi.org/10.1007/s11117-019-00643-x

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