Last modified on 17 February 2014, at 13:09

Vitali-Carathéodory theorem

EnglishEdit

EtymologyEdit

Named after Giuseppe Vitali and Constantin Carathéodory.

NounEdit

Vitali-Carathéodory theorem (uncountable)

  1. (analysis) 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.