Equiintegrability and controlled convergence of Perron-type integrable functions

zbMath0754.26003MaRDI QIDQ1189081

Jaroslav Kurzweil, Jiří Jarník

Publication date: 26 September 1992

Published in: Real Analysis Exchange (Search for Journal in Brave)

zbMATH Keywords

controlled convergenceACG functionequiintegrabilityKurzweil-Henstock definition of the Perron integralPerron type integrable function

Mathematics Subject Classification ID

Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Denjoy and Perron integrals, other special integrals (26A39) Functions of bounded variation, generalizations (26A45) Absolutely continuous real functions in one variable (26A46)

Related Items (11)

Controlled convergence theorems for Henstock-Kurzweil-Pettis integral on m-dimensional compact intervals ⋮ On Henstock--Kurzweil and McShane integrals of Banach space-valued functions ⋮ On generalized solutions for discontinuous fuzzy differential equations and strong fuzzy Henstock integrals ⋮ On Kurzweil-Stieltjes equiintegrability and generalized BV functions ⋮ Differentiability and integrability in \(n\) dimensions with respect to \(\alpha\)-regular intervals ⋮ Henstock-Kurzweil-Pettis integrability of compact valued multifunctions with values in an arbitrary Banach space ⋮ Averaging for retarded functional differential equations ⋮ Equivalent definitions of regular generalized Perron integral ⋮ Perron-type integration on $n$-dimensional intervals and its properties ⋮ A descriptive definition of some multidimensional gauge integrals ⋮ Unnamed Item

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