On the relation between Denjoy-Khintchine and \(\operatorname{HK}_r \)-integrals

DOI10.1134/S0037446624020162arXiv2211.09269OpenAlexW4393166599MaRDI QIDQ6203342

No author found.

Publication date: 27 March 2024

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.09269

zbMATH Keywords

variational measureDenjoy-Khintchine integral\( \operatorname{HK}_r \)-integral\( L^r \)-derivative

Mathematics Subject Classification ID

Functions of one variable (26Axx) Classical measure theory (28Axx) Set functions and measures on spaces with additional structure (28Cxx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The \(L^r\) Henstock-Kurzweil integral
• An ACG function which is not an ACGs function
• Notes on the approximately continuous Henstock integral
• On a variational measure determined by an approximate differential basis
• Characterizations of \(\text{VBG} \cap (\text{N})\)
• The \(L^r\)-variational integral
• On descriptive characterizations of an integral recovering a function from its \(L^r\)-derivative
• The L^rHenstock–Kurzweil integral
• An integral of the Denjoy type
• Perron's integral for derivatives in $L^{r}$
• The 𝐻𝐾ᵣ-integral is not contained in the 𝑃ᵣ-integral

This page was built for publication: On the relation between Denjoy-Khintchine and \(\operatorname{HK}_r \)-integrals