Question

Difference between convex set and convex function

Answer 1

A convex set is a sub set of an affine space that is closed.......
A convex function is a real valued function defined on an interval with the property.....

Answer 2

The boundary of a convex set is always a convex curve. ... It is the smallest convex set containing A. A convex function is a real-valued function defined on an interval with the property that its epigraph (the set of points on or above the graph of the function) is a convex set.