ALMOST RIEMANN INTEGRABLE FUNCTIONS

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Published: Sep 1, 1995
DOI: https://doi.org/10.5556/j.tkjm.26.1995.4400
Keywords:
Almost integrability

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MOUSTAFA DAMLAKHI
Department of Mathematics, King Saud University P.O. Box 2455, Riyadh 11451, Saudi Arabia.

Abstract




An arbitrary function $f$ on a bounded interval $[a,b]$ is  termed an almost $R$-integrable function if there exists a Riemann integrable function $g$ such that $f =g$ a.e. In this note a characterization of the class of almost $R$-integrable


functions is obtained.




Article Details

How to Cite
DAMLAKHI, M. (1995). ALMOST RIEMANN INTEGRABLE FUNCTIONS. Tamkang Journal of Mathematics, 26(3), 231–233. https://doi.org/10.5556/j.tkjm.26.1995.4400
Issue
Vol. 26 No. 3 (1995)
Section
Papers
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References

Soo Bong Chae, Lebesgue integration, Marcel Dekker, Inc. 1980.

F. Riesz and B. Sz. Nagy, Functional Analysis, Ungar Publishing Co., Sixth printing, 1972.