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1995/1996 The convergence content of the integral convergence theorem
Isidore Fleischer
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Real Anal. Exchange 21(2): 771-773 (1995/1996).


Recently Bartle [B], modifying a convergence theorem of Gordon, has established necessary and sufficient conditions for a Henstock integral convergence theorem. We point out that this result is not specific to the Henstock, or indeed to any definition of, an integral. Rather, it is a result about an arbitrary limit process and can thus be formulated in the setting of abstract convergence theory.


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Isidore Fleischer. "The convergence content of the integral convergence theorem." Real Anal. Exchange 21 (2) 771 - 773, 1995/1996.


Published: 1995/1996
First available in Project Euclid: 14 June 2012

zbMATH: 0879.26031
MathSciNet: MR1407293

Primary: 26A39 , 28A20
Secondary: 20A03 , 40A10

Keywords: abstract convergence theory

Rights: Copyright © 1995 Michigan State University Press

Vol.21 • No. 2 • 1995/1996
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