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2021 Strong derivative and the essentially Riemann integral
Immanuel D. Calunod, I. J. L. Garces
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Real Anal. Exchange 46(1): 233-246 (2021). DOI: 10.14321/realanalexch.46.1.0233

Abstract

We characterize the primitives of Riemann integrable functions using the concept of strong differentiability. We also introduce the notion of essentially Riemann integrable function and characterize it descriptively using its primitive. We also give a characterization of this function that parallels Lebesgue's criterion for Riemann integrability.

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Immanuel D. Calunod. I. J. L. Garces. "Strong derivative and the essentially Riemann integral." Real Anal. Exchange 46 (1) 233 - 246, 2021. https://doi.org/10.14321/realanalexch.46.1.0233

Information

Published: 2021
First available in Project Euclid: 14 October 2021

Digital Object Identifier: 10.14321/realanalexch.46.1.0233

Subjects:
Primary: 26A24, 26A42

Rights: Copyright © 2021 Michigan State University Press

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Vol.46 • No. 1 • 2021
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