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ЖУРНАЛЫ // Уфимский математический журнал // Архив

Уфимск. матем. журн., 2025, том 17, выпуск 3, страницы 141–152 (Mi ufa745)

On basic summability in $ \mathbb{R} $

B. Sarić

Faculty of Technical Sciences, University of Kragujevac, Svetog Save 65, 32 000, Čačak, Serbia

Аннотация: The paper deals with the concept of basic summability of residue function of interval function, which is a synonym for its differential form. As one comprehensive concept, it includes not only all known concepts of integrability, such as Newton's, generalized Riemann and generalized Riemann — Stieltjes integrability, but also arithmetic series.

Ключевые слова: basic summability, total integrability.

MSC: 26A39, 26A42, 26A46, 26E25

Поступила в редакцию: 17.07.2024

Язык публикации: английский


 Англоязычная версия: Ufa Mathematical Journal, 2025, 17:3, 137–148


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