English

Noun

1. (uncountable) The state of being subadditive.
2. The statement that a function is subadditive.
An outer measure ${\displaystyle \mu ^{*}}$ satisfies a property called “subadditivity”, viz.: ${\displaystyle \mu ^{*}{\big (}\bigcup _{j=1}^{\infty }A_{j}{\big )}\leq \sum _{j=1}^{\infty }\mu ^{*}(A_{j})}$. If the less-than-or-equal sign were replaced with an equal sign then the property would be “additivity” instead.

Antonyms

• what is subadditivity in finance

English

Etymology

1. (of a function) Such that the image of a sum is at most the sum of the images of the summands.
The square-root function is subadditive under addition because ${\displaystyle {\sqrt {a+b}}\leq {\sqrt {a}}+{\sqrt {b}}}$.