Vitali-Caratheodory Theorem Definition

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.

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Origin of Vitali-Caratheodory Theorem

  • Named after Giuseppe Vitali and Constantin Carathéodory .

    From Wiktionary

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