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df-statistical convergence in connection with a modulus in metric spaces

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  • Emine Kayan
  • Rifat Çolak

Abstract

In this study we introduce df-statistical convergence and df-strong Cesàro summability with respect to a modulus for a sequence in a metric space. Furthermore we give the relations between the set of df-statistically convergent sequences and the set of df-strongly Cesàro summable sequences with respect to a modulus. Besides this we give the relations between the set of d-strongly Cesàro summable and the set of df-strongly Cesàro summable sequences in connection with a modulus.

Suggested Citation

  • Emine Kayan & Rifat Çolak, 2021. "df-statistical convergence in connection with a modulus in metric spaces," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 50(10), pages 2270-2280, May.
    • Handle: RePEc:taf:lstaxx:v:50:y:2021:i:10:p:2270-2280
    DOI: 10.1080/03610926.2019.1663212
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