Definition:Upper Bound of Mapping/Real-Valued

Definition
Let $f: S \to \R$ be a real-valued function.

Let $f$ be bounded above in $\R$ by $H \in \R$.

Then $H$ is an upper bound of $f$.

Also see

 * Definition:Bounded Above Real-Valued Function


 * Definition:Bounded Below Real-Valued Function
 * Definition:Lower Bound of Real-Valued Function


 * Definition:Bounded Real-Valued Function
 * Definition:Bound of Real-Valued Function