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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Vydáno v:Quaestiones mathematicae Ročník 46; číslo 8; s. 1643 - 1651
Hlavní autor: Listán-García, M.C.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Grahamstown Taylor & Francis 03.08.2023
Taylor & Francis Ltd
Témata:
Banach spaces
Convergence
Density
modulus function
Primary: 40A35
Secondary: 46A45
statistical convergence
ISSN:1607-3606, 1727-933X
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Shrnutí: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.
Bibliografie:ObjectType-Article-1
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ObjectType-Feature-2
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ISSN:1607-3606
1727-933X
DOI:10.2989/16073606.2022.2074909