almost convex

A real function, $f:ℝ\to ℝ$, is said to be almost convex if

$$f(z)\le \max \{f(x),f(y)\},\forall x,y,zx\le z\le y$$

It is easy to see that a convex function is an almost convex function.

Title	almost convex
Canonical name	AlmostConvex
Date of creation	2013-03-22 15:20:55
Last modified on	2013-03-22 15:20:55
Owner	georgiosl (7242)
Last modified by	georgiosl (7242)
Numerical id	5
Author	georgiosl (7242)
Entry type	Definition
Classification	msc 26A51