A CONVERGENCE THEOREM FOR GENERALIZED RIEMANN INTEGRALS

Robert G. Bartle

doi:10.2307/44152472

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Home > Journals > Real Anal. Exchange > Volume 20 > Issue 1 > Article

1994/1995 A CONVERGENCE THEOREM FOR GENERALIZED RIEMANN INTEGRALS

Robert G. Bartle

Real Anal. Exchange 20(1): 119-124 (1994/1995). DOI: 10.2307/44152472

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Abstract

A necessary and sufficient condition is given that the limit $f$ of a sequence $\{ {f_n}\}$ of generalized Riemann integrable functions be integrable and that ${\smallint _I}f = \lim {\rm{ }}{\smallint _I}{f_n}$ .

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Robert G. Bartle. "A CONVERGENCE THEOREM FOR GENERALIZED RIEMANN INTEGRALS." Real Anal. Exchange 20 (1) 119 - 124, 1994/1995. https://doi.org/10.2307/44152472