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

Emine Kayan and Rifat Çolak

Communications in Statistics - Theory and Methods, 2021, vol. 50, issue 10, 2270-2280

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.

Date: 2021
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DOI: 10.1080/03610926.2019.1663212

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