Variations and variational measures in integration theory and some applications

DOI10.1007/BF02433805zbMath0959.26006MaRDI QIDQ1273569

Valentin A. Skvortsov

Publication date: 21 December 1998

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

Kurzweil-Henstock integralvariational measuregeneralized integralsintegration theoryDenjoy-Perron integralgeneralized Riemann integralvariational equivalencenonabsolutely convergent integrals

Mathematics Subject Classification ID

Denjoy and Perron integrals, other special integrals (26A39) Functions of bounded variation, generalizations (26A45)

Related Items (5)

On descriptive characterizations of an integral recovering a function from its \(L^r\)-derivative ⋮ The Ward property for a \(\mathcal P\)-adic basis and the \(\mathcal P\)-adic integral. ⋮ Variational measures related to local systems and the Ward property of $$\mathcal{P}$$ -adic path bases ⋮ On dyadic integrals and some other integrals associated with local systems ⋮ On variational measures related to some bases

Cites Work

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• On the Marcinkiewicz theorem for the binary Perron integral
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• The essential variation of a function and some convergence theorems
• ON SOME MULTIPLE FUNCTION SERIES AND THE SOLUTION OF THE UNIQUENESS PROBLEM FOR PRINGSHEIM CONVERGENCE OF MULTIPLE TRIGONOMETRIC SERIES
• On Mawhin's approach to multiple nonabsolutely convergent integral
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• The Gauss-Green theorem
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