f -Statistical convergence on topological modules

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URI: http://hdl.handle.net/10498/27037

DOI: 10.3934/era.2022110

ISSN: 2688-1594

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Author/s
García Pacheco, Francisco JavierAuthority UCA; Kama, Ramazan
Date
2022
Department
Matemáticas
Source
Electronic Research Archive, Vol. 30, pp. 2183-2195
Abstract
The classical notion of statistical convergence has recently been transported to the scope of real normed spaces by means of the f -statistical convergence for f a modulus function. Here, we go several steps further and extend the f -statistical convergence to the scope of uniform spaces, obtaining particular cases of f -statistical convergence on pseudometric spaces and topological modules.
Subjects
f -statistical convergence; statistical convergence; uniform space; metric space; topological module
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