Interior of a convex set is convex
30423
interior points and convexity
156101
Is the convex hull of closed set in $\mathbb R^{n}$ is closed?
15645
Is convex open set in $\mathbb{R}^n$ is regular?
14448
Elementary proof that $|x|^p$ is convex.
69235
padded boundary of convex hull
53132
A convex subset of a set has 'smaller' boundary than the set?
31548
Proof of "every convex function is continuous"
158399
Show that $\{(x_1,x_2):x_1x_2\geq4,x_1>0,x_2>0\}$ is a convex set
40438
Proving that closed (and open) balls are convex
55866
Convex + Monotone =? Convex
15491
Prove that $f:\mathbb R^n\to\mathbb R$ is affine if and only if it is convex and concave
73074
$f \text{ convex }\Rightarrow \forall (x_0,f(x_0))\in \Gamma(f) \exists a : \forall x\in \mathbb{R}, f(x) \ge a(x-x_0)+f(x_0)$
62135
Area under the graph of a convex function
54764
Given a real function $g$ satisfying certain conditions, can we construct a convex $h$ with $h \le g$?
10352
Prove that $x^n$ is a convex function on $(0,\infty)$
142740
If $\varphi \in E'$ and $A$ is convex and open then $\varphi (A)$ is an open interval
67313
Proving $\{(x_1, x_2) \in \mathbb{R}^2_{+} \mid x_1 x_2 \geq 1\}$ is convex