Open Access
1997/1998 On the Problem of Characterizing Derivatives
Chris Freiling
Author Affiliations +
Real Anal. Exchange 23(2): 805-812 (1997/1998).


We observe how a slight and even natural change in the Kurzweil-Henstock integral leads to a characterization of derivatives. We will also argue that the only way to characterize derivatives is by using some object or procedure which is at least as complicated as an integral.


Download Citation

Chris Freiling. "On the Problem of Characterizing Derivatives." Real Anal. Exchange 23 (2) 805 - 812, 1997/1998.


Published: 1997/1998
First available in Project Euclid: 14 May 2012

zbMATH: 0943.26014
MathSciNet: MR1639989

Primary: 26A24 , 26A3 , 26A36

Keywords: {antiderivative} , {derivative} , {Henstock} , {Kurzweil} , {Riemann complete}

Rights: Copyright © 1999 Michigan State University Press

Vol.23 • No. 2 • 1997/1998
Back to Top