vitali-carathéodory theorem

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Definition of vitali-carathéodory theorem in English English dictionary

Related Terms

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

Hyphenation

vitali-carathéodory the-o-rem

Etymology

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