Vitali-Carathéodory theorem
English
[edit]Etymology
[edit]Named after Giuseppe Vitali and Constantin Carathéodory.
Proper noun
[edit]Vitali-Carathéodory theorem
- (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.