2024 On the Problem of Integrating Infinite Derivatives
David Manolis
Real Anal. Exchange 49(2): 293-298 (2024). DOI: 10.14321/realanalexch.1.1.1685253661

Abstract

We construct a continuous function possessing an infinite derivative that cannot be integrated using the approximately continuous extension of the Denjoy-Khinchin integral introduced by Kubota.

Citation

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David Manolis. "On the Problem of Integrating Infinite Derivatives." Real Anal. Exchange 49 (2) 293 - 298, 2024. https://doi.org/10.14321/realanalexch.1.1.1685253661

Information

Published: 2024
First available in Project Euclid: 25 June 2024

Digital Object Identifier: 10.14321/realanalexch.1.1.1685253661

Subjects:
Primary: 26A24 , 26A39
Secondary: 26A30

Keywords: Denjoy-Khinchin integral , Henstock-Kurzweil integral , infinite derivative

Rights: Copyright © 2024 Michigan State University Press

Vol.49 • No. 2 • 2024
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