Definition:Supremum of Mapping/Real-Valued Function/Definition 1
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This page is about Supremum of Real-Valued Function. For other uses, see Supremum.
Definition
Let $f: S \to \R$ be a real-valued function.
Let $f$ be bounded above on $S$.
The supremum of $f$ on $S$ is defined by:
- $\ds \sup_{x \mathop \in S} \map f x := \sup f \sqbrk S$
where
Also see
Sources
- 1977: K.G. Binmore: Mathematical Analysis: A Straightforward Approach ... (previous) ... (next): $\S 7.13$