infimum

/ɪnˈfɪməm/

Definitions

1. noun

The greatest lower bound of a set of numbers.

“The infimum of the set of temperatures during the winter month was 25 degrees Fahrenheit.”

2. noun

In measure theory, a type of greatest lower bound.

“The infimum of the given measure space is a key concept in real analysis.”

3. noun

The greatest lower bound of a set of functions.

“The infimum of the set of functions on the given interval was found using the least upper bound property.”

Synonyms

  • GLB
  • greatest lower bound

Antonyms

  • least upper bound
  • supremum