Variational measure and sufficient differentiability condition of additive interval function

DOI10.3103/S0027132212020039zbMath0913.28002OpenAlexW2021938831MaRDI QIDQ1280358

Valentin A. Skvortsov

Publication date: 15 March 1999

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0027132212020039

zbMATH Keywords

differentiabilityHenstock integralvariational measureadditive function

Mathematics Subject Classification ID

Denjoy and Perron integrals, other special integrals (26A39) Abstract differentiation theory, differentiation of set functions (28A15)

Related Items (5)

On descriptive characterizations of an integral recovering a function from its \(L^r\)-derivative ⋮ On the Denjoy-Luzin definitions of the function classes ACG ACG\(^*\), VBG, and VBG\(^*\) ⋮ Variations and variational measures in integration theory and some applications ⋮ On dyadic integrals and some other integrals associated with local systems ⋮ On variational measures related to some bases

Cites Work

• Unnamed Item
• Kurzweil-Henstock type integral in fourier analysis on compact zero-dimensional group
• Perron type integral on compact zero-dimensional Abelian groups
• Henstock integration in the plane
• Sets of Uniqueness in Compact, O-Dimensional Metric Groups

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