Word.ws English Dictionary

Vitali-Carathéodory theorem

Vitali-Carathéodory theorem proper noun: 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.

Proper noun

Vitali-Carathéodory theorem

  1. 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.

Origin of Vitali-Carathéodory theorem

Named after Giuseppe Vitali and Constantin Carathéodory.

Questions about Vitali-Carathéodory theorem

What does Vitali-Carathéodory theorem mean?
Vitali-Carathéodory theorem means 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.
What part of speech is Vitali-Carathéodory theorem?
Vitali-Carathéodory theorem is a proper noun.

Words near Vitali-Carathéodory theorem in the dictionary

  1. vital statistic
  2. vital statistics
  3. Vitale
  4. Vitalez
  5. Vitali
  6. Vitali-Carathéodory theorem
  7. Vitaliano
  8. Vitalianos
  9. vitalic
  10. Vitalis
  11. vitalisation

Source and license

Adapted from Wiktionary: Vitali-Carathéodory theorem (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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