Hypograph (mathematics)

In mathematics, the graph of a real-valued function Hypo denotes the set of all points that lie on or below their graphs.

Definition

Be. The Hypo graph of the function defined by

Properties

Be. For functions applies:

• Is exactly then concave if the Hypo graph of a convex set forms.
• If and only upper continuous if the Hypo graph of a closed set forms.