On Kurzweil-Stieltjes equiintegrability and generalized BV functions

DOI10.21136/MB.2019.0041-19zbMath1499.26024MaRDI QIDQ3297162

Giselle Antunes Monteiro

Publication date: 2 July 2020

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

zbMATH Keywords

variational measuregeneralized bounded variationKurzweil-Stieltjes integralStieltjes derivative

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) Functions of bounded variation, generalizations (26A45)

Cites Work

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• A new full descriptive characterization of Denjoy-Perron integral
• A new unification of continuous, discrete and impulsive calculus through Stieltjes derivatives
• A descriptive definition of the KH-Stieltjes integral
• The Perron-Stieltjes integral
• General integration and extensions I
• General integration and extensions II
• On Kurzweil-Henstock equiintegrable sequences
• Variational measures and the Kurzweil-Henstock integral
• Distributional, differential and integral problems: equivalence and existence results
• Kurzweil–Stieltjes Integral

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