Vitali-Carathéodory theorem love

Vitali-Carathéodory theorem

Definitions

from Wiktionary, Creative Commons Attribution/Share-Alike License

  • n. 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.

Etymologies

Named after Giuseppe Vitali and Constantin Carathéodory. (Wiktionary)

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