Which functions have the property that some upper some equals some (other) lower sum?(adsbygoogle = window.adsbygoogle || []).push({});

Constant functions obviously do. Odd functions do in some cases. Even functions don't. Step functions won't (unless we restrict our consideration to an interval where it is constant). In fact it seems that all discontinuous functions would fail to have this property. Can anyone generalize/formalize this?

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# Lower and upper sums

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