vitali-carathéodory theorem

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Vitali-Carathéodory theorem
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
vitali-carathéodory theorem

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    () Named after Giuseppe Vitali|Giuseppe Vitali]] and Constantin Carathéodory|Constantin Carathéodory]].