Definition:Concave Real Function

Definition
Let $f$ be a real function which is defined on a real interval $I$.

Also known as
A concave function can also be referred to as:
 * a concave down function
 * a convex up function

Also see

 * Equivalence of Definitions of Concave Real Function


 * Definition:Strictly Concave Real Function


 * Definition:Convex Real Function
 * Definition:Strictly Convex Real Function


 * Compare convex function. It is immediately obvious from the definition that $f$ is concave on $I$ iff $-f$ is convex on $I$.


 * Concavity of Differentiable Functions