Open Access
2009/2010 Characterizations of an Indefinite Riemann Integral
Brian S. Thomson
Real Anal. Exchange 35(2): 487-492 (2009/2010).


What are necessary and sufficient conditions in order that a function may be an indefinite integral in the Riemann sense? The problem has been explicitly posed in a short note [3] published by Erik Talvila in 2008 in THIS EXCHANGE. Since neither Erik nor I have been able to find a solution in the literature I propose the following solution which is the sole subject of the paper.


Download Citation

Brian S. Thomson. "Characterizations of an Indefinite Riemann Integral." Real Anal. Exchange 35 (2) 487 - 492, 2009/2010.


Published: 2009/2010
First available in Project Euclid: 22 September 2010

MathSciNet: MR2683613

Primary: 26A16 , 26A42

Keywords: bounded slope variation , Indefinite integral , Lebesgue integral , Riemann integral

Rights: Copyright © 2009 Michigan State University Press

Vol.35 • No. 2 • 2009/2010
Back to Top