A note on Riemann integrability
Copyright policy ) G. A. Beer;
A note on Riemann integrability
In this note we define Riemann integrabillty for real valued functions defined on a compact metric space accompanied by a finite Borel measure. If the measure of each open ball equals the measure of its corresponding closed ball, then a bounded function is Riemann integrable if and only if its set of points of discontinuity has measure zero.
- California State University, Chico United States
QA1-939, compact metric space with Borel measure., Integration with respect to measures and other set functions, Mathematics, Riemann integrable functions on a compact metric space
QA1-939, compact metric space with Borel measure., Integration with respect to measures and other set functions, Mathematics, Riemann integrable functions on a compact metric space
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