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on \(\rho -\) statistical convergence of double sequences of order \(\alpha\) in topological groups

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Abstract

We investigate the concept of \(\rho\)-strongly summable and \(\rho\)-statistical convergence for double sequences of order \(\alpha\) in topological groups by using definition of \(\rho\)-statistical convergence which was defined by Cakalli in Bulletin of the Malaysian Mathematical Sciences Society 40:1701–1710 . We give some inclusion relations between these concepts.

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The authors received no financial support for the research, authorship or publication of this article.

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Authors and Affiliations

  1. Department of Mathematics, Bitlis Eren University, 13000, Bitlis, Turkey

    Nazlım Deniz Aral

  2. Faculty of Education, Harran University, Osmanbey Campus, 63190, Şanlıurfa, Turkey

    Hacer Şengül Kandemir

  3. Department of Mathematics, Fırat University, 23119, Elazığ, Turkey

    Mikail Et

Authors
  1. Nazlım Deniz Aral
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  2. Hacer Şengül Kandemir
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  3. Mikail Et
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Correspondence to Nazlım Deniz Aral.

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Aral, N.D., Kandemir, H.Ş. & Et, M. on \(\rho -\) statistical convergence of double sequences of order \(\alpha\) in topological groups. J Anal 31, 3069–3078 (2023). https://doi.org/10.1007/s41478-023-00640-0

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