inf｢sup(f(x))ƧP[a,b]｣
− sup｢inf(f(x))ƧP[a,b]｣
< ε.ᐥ
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7105 Riemann's condition |
| by EngliSea on 2020-07-16 | |
| ᐥLet f be defined and bounded on [a,b]. Then f is Riemann integrable on [a,b] if and only if for every ε>0 there exists a partition P of [a,b] such that inf｢sup(f(x))ƧP[a,b]｣ − sup｢inf(f(x))ƧP[a,b]｣ < ε.ᐥ |
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