A mathematical object (such as a set or function) is said to bounded if it possesses a bound, i.e., a value which all members of the set, functions, etc., are less than.
Bounded
See also
Bounded Operator, Bounded SetExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Bounded." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Bounded.html