Research Article

On uniform f −statistical convergence of sequences of functions

Published in: Quaestiones Mathematicae
Volume 46 , issue 8 : Entrepreneurship and Africa’s Cultural Context , 2024 , pages: 1643–1651
DOI: 10.2989/16073606.2022.2074909
Author(s): M.C. Listán-García Universidad de Cádiz, Spain,
Keywords: Primary: Primary: 40A35, Secondary: Secondary: 46A45, Density, modulus function, statistical convergence,
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Abstract

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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