Translator Disclaimer
May 2019 Direct Proofs of the Fundamental Theorem of Calculus for the Omega Integral
C. Bryan Dawson, Matthew Dawson
Missouri J. Math. Sci. 31(1): 46-55 (May 2019). DOI: 10.35834/mjms/1559181625

Abstract

When introduced in a 2018 article in the American Mathematical Monthly, the omega integral was shown to be an extension of the Riemann integral. Although results for continuous functions such as the Fundamental Theorem of Calculus follow immediately, a much more satisfying approach would be to provide direct proofs not relying on the Riemann integral. This note provides those proofs.

Citation

Download Citation

C. Bryan Dawson. Matthew Dawson. "Direct Proofs of the Fundamental Theorem of Calculus for the Omega Integral." Missouri J. Math. Sci. 31 (1) 46 - 55, May 2019. https://doi.org/10.35834/mjms/1559181625

Information

Published: May 2019
First available in Project Euclid: 30 May 2019

zbMATH: 07276112
MathSciNet: MR3960286
Digital Object Identifier: 10.35834/mjms/1559181625

Subjects:
Primary: 26E35

Rights: Copyright © 2019 Central Missouri State University, Department of Mathematics and Computer Science

JOURNAL ARTICLE
10 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.31 • No. 1 • May 2019
Back to Top