Math 2.0

Real functions Concept

Upper and lower Darboux integrals

Summary

The upper Darboux integral of a bounded function is the infimum of its upper Darboux sums. The lower one is the supremum of its lower Darboux sums. A function is integrable when the two agree. The node upper and lower Darboux integrals gives the precise definition.

Further reading

  1. Web https://en.wikipedia.org/wiki/Darboux_integral, Darboux integrals
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