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2013/2014 Strong Derivatives and Integrals
Brian S. Thomson
Real Anal. Exchange 39(2): 469-488 (2013/2014).

Abstract

The strong derivative is not, without some caution, a useful tool in the study of McShaneʼs (i.e., Lebesgueʼs) integral. Even so, the underlying structure of that process of derivation is closely connected to the formulation of the Riemann sums definition that McShane gave for his integral. This article discusses some of the features and traps for the study of those connections.

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Brian S. Thomson. "Strong Derivatives and Integrals." Real Anal. Exchange 39 (2) 469 - 488, 2013/2014.

Information

Published: 2013/2014
First available in Project Euclid: 30 June 2015

zbMATH: 1325.26019
MathSciNet: MR3365387

Subjects:
Primary: 26A24 , 26A42

Keywords: Henstock-Kurzweil integral , Inner variation , Lebesgue integral , McShane integral , Riemann integral , strong derivative.

Rights: Copyright © 2014 Michigan State University Press

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Vol.39 • No. 2 • 2013/2014
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