Abstract
After introducing the concepts of \(\varphi\)-derivatives and \(\varphi\)-integrals inside the dual real number algebra, we prove a new generalization of the fundamental theorem of calculus.
Citation
Keqin Liu. "A Generalization of the Fundamental Theorem of Calculus." Real Anal. Exchange 39 (1) 239 - 260, 2013/2014.
Information
Published: 2013/2014
First available in Project Euclid: 1 July 2014
zbMATH: 1298.26038
MathSciNet: MR3261909
Subjects:
Primary:
26A99
Keywords:
\(\varphi\)-derivatives
,
\(\varphi\)-integrals
,
the dual real number algebra
Rights: Copyright © 2013 Michigan State University Press
