English Explanatory Dictionary

Vitali-Carathéodory theorem

English dictionary entry

Meanings

name
  1. 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.

Word forms

Vitali-Carathéodory theorem

Etymology

Named after Giuseppe Vitali and Constantin Carathéodory.

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