Does Every Continuous Function have an Antiderivative?

Antonio Martínez-Abejón

doi:10.14321/realanalexch.49.1.1681628582

Abstract

The question posed in the title is positively answered for any continuous, real function defined on any crowded subset of real numbers.

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Antonio Martínez-Abejón. "Does Every Continuous Function have an Antiderivative?." Real Anal. Exchange 49 (1) 123 - 140, 2024. https://doi.org/10.14321/realanalexch.49.1.1681628582

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Published: 2024

First available in Project Euclid: 23 February 2024

Digital Object Identifier: 10.14321/realanalexch.49.1.1681628582

Subjects:

Primary: 26A15 , 26A36

Secondary: 26A42

Keywords: antiderivative , antidifferentiation , continuous derivative , Lebesgue integral , real function of real variable , Riemann integral

Abstract

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