Upper Bound

A function f is said to have a upper bound C if f(x)<=C for all x 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:

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

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