# What is the name of the most locally convex / concave point of a $f(x)$ function?

I was looking for the name given to the more locally convex / concave points of a given function $f(x)$ for instance, the ones I have marked in the multiplicative inverse function below. In the case of the multiplicative inverse it might be also a fixed point, but being a fixed point does not necessarily mean that is also locally the most convex / concave point. It is not an inflection point as well, and I am not sure if it is an stationary point, because the position is not a local maximum or minimum. So is there a name for the most locally convex / concave points of a function? thank you.

The Wiki articles are not very clear about it:

http://en.wikipedia.org/wiki/Convex_function

http://en.wikipedia.org/wiki/Concave_function