On uniform f −statistical convergence of sequences of functions

We introduce the notions of uniform f −statistical convergence of sequences and uniform f −statistical Cauchy sequences of functions. The natural equivalence between these two notions, in Banach spaces, is proved. In doing so, we generalize and improve results of Gökhan and Güngör.

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Bibliographic Details
Published in:Quaestiones mathematicae Vol. 46; no. 8; pp. 1643 - 1651
Main Author: Listán-García, M.C.
Format: Journal Article
Language:English
Published: Grahamstown Taylor & Francis 03.08.2023
Taylor & Francis Ltd
Subjects:
Banach spaces
Convergence
Density
modulus function
Primary: 40A35
Secondary: 46A45
statistical convergence
ISSN:1607-3606, 1727-933X
Online Access:Get full text
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Description
Summary:We introduce the notions of uniform f −statistical convergence of sequences and uniform f −statistical Cauchy sequences of functions. The natural equivalence between these two notions, in Banach spaces, is proved. In doing so, we generalize and improve results of Gökhan and Güngör.
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ISSN:1607-3606
1727-933X
DOI:10.2989/16073606.2022.2074909