Category:Local Maxima
Jump to navigation
Jump to search
This category contains results about Local Maxima.
Definitions specific to this category can be found in Definitions/Local Maxima.
Let $f$ be a real function defined on an open interval $\openint a b$.
Let $\xi \in \openint a b$.
Then $f$ has a local maximum at $\xi$ if and only if:
- $\exists \openint c d \subseteq \openint a b: \forall x \in \openint c d: \map f x \le \map f \xi$
That is, if and only if there is some subinterval on which $f$ attains a maximum within that interval.
Subcategories
This category has the following 2 subcategories, out of 2 total.
D
S
- Strict Local Maxima (empty)
Pages in category "Local Maxima"
This category contains only the following page.