Strong Derivative and the Essentially Riemann Integral

Authors

Immanuel D. Calunod, Ateneo de Cagayan
Ian June L. Garces, Ateneo de Manila UniversityFollow

Document Type

Article

Publication Date

10-14-2021

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.

Recommended Citation

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