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1996/1997 A Vitali-like convergence theorem for the Henstock integral
Isidore Fleischer
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Real Anal. Exchange 22(1): 174-176 (1996/1997).


Theorem. If Henstock integrable \(f_n\) converge in measure to a finite \(f\) and their primitives \(F_n\) are equi-\(ACG_*\) and converge pointwise to a continuous \(F\) then \(\int f = \lim F_{n}\).


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Isidore Fleischer. "A Vitali-like convergence theorem for the Henstock integral." Real Anal. Exchange 22 (1) 174 - 176, 1996/1997.


Published: 1996/1997
First available in Project Euclid: 1 June 2012

zbMATH: 0879.26033
MathSciNet: MR1433605

Primary: 26A39

Keywords: Henstock integral , Vitali convergence

Rights: Copyright © 1996 Michigan State University Press

Vol.22 • No. 1 • 1996/1997
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