Convex Functions
A convex function is any extended real-valued function which satisfies Jensen's inequality, i.e. for any and any then
- .
Equivalently, a convex function is any (extended) real valued function such that its epigraph
is a convex set.
Read more about this topic: Convex Analysis
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“Let us stop being afraid. Of our own thoughts, our own minds. Of madness, our own or others’. Stop being afraid of the mind itself, its astonishing functions and fandangos, its complications and simplifications, the wonderful operation of its machinery—more wonderful because it is not machinery at all or predictable.”
—Kate Millett (b. 1934)