Abstract
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 \(\int f = \lim F_{n}\).
Citation
Isidore Fleischer. "A Vitali-like convergence theorem for the Henstock integral." Real Anal. Exchange 22 (1) 174 - 176, 1996/1997.
Information
Published: 1996/1997
First available in Project Euclid: 1 June 2012
zbMATH: 0879.26033
MathSciNet: MR1433605
Subjects:
Primary:
26A39
Keywords:
Henstock integral
,
Vitali convergence
Rights: Copyright © 1996 Michigan State University Press
