Two remarks on properties of functions of bounded variation

In terms of variations, a sufficient condition for the uniform convergence of sequences of continuous functions is proved. Using this result, we obtain an addition to the classical Helly theorem on the selection of convergent sequences of functions with uniformly bounded variations in the case when...

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Bibliographic Details
Main Authors: Sergey V. Astashkin, Vladislav M. Ershov
Format: Article
Language:English
Published: Samara National Research University 2024-10-01
Series:Вестник Самарского университета: Естественнонаучная серия
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Online Access:https://journals.ssau.ru/est/article/viewFile/27929/10848
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