# almost convex

A real function, $f\colon\mathbb{R}\to\mathbb{R}$, is said to be almost convex if

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

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

Title almost convex AlmostConvex 2013-03-22 15:20:55 2013-03-22 15:20:55 georgiosl (7242) georgiosl (7242) 5 georgiosl (7242) Definition msc 26A51