In mathematics, the Vitali–Carathéodory theorem is a result in real analysis that shows that, under the conditions stated below, integrable functions can be approximated in L from above and below by lower- and upper-semicontinuous functions, respectively. It is named after Giuseppe Vitali and Constantin Carathéodory.
Giuseppe Vitali was 18 when he came up with the theorem
( z1 age :ARG1 ( z2 person :name ( z3 name :op "Giuseppe" :op "Vitali" ) ) :ARG2 ( z4 temporal-quantity :quant 18 :unit ( z5 year ) ) :time ( z6 come-up :ARG0 z2 :ARG1 ( z7 theorem ) ) )