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ON THE POSITIVITY OF RIEMANN–STIELTJES INTEGRALS

Part of: Real functions

Published online by Cambridge University Press:  02 August 2012

JANI LUKKARINEN  and
MIKKO S. PAKKANEN
JANI LUKKARINEN
Affiliation:
Department of Mathematics and Statistics, University of Helsinki, PO Box 68, FI-00014 Helsingin yliopisto, Finland (email: [email protected])
MIKKO S. PAKKANEN*
Affiliation:
CREATES and Department of Economics and Business, Aarhus University, Bartholins Allé 10, DK-8000 Aarhus C, Denmark (email: [email protected])
*
✉For correspondence; e-mail: [email protected]
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Abstract

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We study the question whether a Riemann–Stieltjes integral of a positive continuous function with respect to a nonnegative function of bounded variation is positive.

Keywords

Riemann–Stieltjes integralpositivityfunction of bounded variationGrönwall’s inequality

MSC classification

Secondary: 26A42: Integrals of Riemann, Stieltjes and Lebesgue type
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 87 , Issue 3 , June 2013 , pp. 400 - 405
Copyright
Copyright © 2012 Australian Mathematical Publishing Association Inc. 

References

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