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