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On μ– statistical uniform convergence and Dini’s theorem

Mustafa Gülfırat

Communications in Statistics - Theory and Methods, 2023, vol. 52, issue 21, 7744-7751

Abstract: The present paper aims to study the uniform convergence of a sequence of functions via the μ− statistical uniform convergence where μ is a finitely additive set function defined on a field of subsets of positive integers. In particular we deal with an analog of Dini’s theorem. It turns out that μ− statistical uniform convergence of a sequence of functions is characterized by that of another decreasing sequence of functions.

Date: 2023
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DOI: 10.1080/03610926.2022.2059684

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