Prove that the support function of a closed non-empty set is convex
87207
Prove that the support function of an arbitrary set $A\subset\mathbb R^n$ is convex
116851
Show that f(x) is convex
14448
Elementary proof that $|x|^p$ is convex.
143936
Show that $f(x)=||x||^p, p\ge 1$ is convex function on $\mathbb{R}^n$
106718
Prove if C is midpoint convex and closed then its a convex set
149536
Why is the  $L_p$ norm strictly convex for $1<p<\infty?$
16943
Midpoint-Convex and Continuous Implies Convex
74608
Convex function as supremum of countably many affine functions
24050
Characterization of the Closure of a Set
10180
How to prove that this set is closed?
156101
Is the convex hull of closed set in $\mathbb R^{n}$ is closed?
64197
Subgradients of non-convex functions
15645
Is convex open set in $\mathbb{R}^n$ is regular?
151981
Tangent line of a convex function
86305
A secant inequality for convex functions
60521
Continuity of a convex function
6335
Proving that the set enclosed by an ellipse is convex