An upper bound for a function satisfies for all in its domain. The least upper bound is called the supremum. A set is said to be bounded from above if it has an upper bound.

See also

Bounded from Above, Inequality, Infimum, Least Upper Bound, Lower Bound, Supremum

Portions of this entry contributed by Todd Rowland

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Cite this as:

Weisstein, Eric W., with contributions by Todd Rowland. "Upper Bound." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/UpperBound.html

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