Vitali-Carathéodory theorem

English

Etymology

Named after Giuseppe Vitali and Constantin Carathéodory.

Proper noun

Vitali-Carathéodory theorem

  1. (mathematical analysis) A theorem which states that any real-valued Lebesgue integrable function can be approached arbitrarily closely from below by an upper semicontinuous function and also from above by a lower semicontinuous function.
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