The LrHenstock–Kurzweil integral

DOI10.4064/SM160-1-3zbMath1063.26004OpenAlexW2314130581MaRDI QIDQ4811129

Paul M. Musial, Yoram Sagher

Publication date: 18 August 2004

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: http://journals.impan.gov.pl/sm/Inf/160-1-3.html

zbMATH Keywords

Perron integralHenstock-Kurzweil integralgaugeDini derivative\(L_r\) derivative\(L_r\) integraldoubly subordinate partitions

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Denjoy and Perron integrals, other special integrals (26A39) Absolutely continuous real functions in one variable (26A46)

Related Items (6)

The \(L^r\)-variational integral ⋮ On descriptive characterizations of an integral recovering a function from its \(L^r\)-derivative ⋮ On the relation between Denjoy-Khintchine and \(\operatorname{HK}_r \)-integrals ⋮ Comparison of the \(P_r\)-integral with Burkill's integrals and some applications to trigonometric series ⋮ Unnamed Item ⋮ The 𝐻𝐾ᵣ-integral is not contained in the 𝑃ᵣ-integral

This page was built for publication: The L^rHenstock–Kurzweil integral