Vitali-Carathéodory theorem

Definition from Wiktionary, the free dictionary
Jump to: navigation, search



Named after Giuseppe Vitali and Constantin Carathéodory.

Proper noun[edit]

Vitali-Carathéodory theorem

  1. (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.