Vitali-Carathéodory theorem
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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.