Is a convex function defined on a convex open subset of $\mathbb R^n$ continuous?
60521
Continuity of a convex function
10352
Prove that $x^n$ is a convex function on $(0,\infty)$
60887
$d_A(x) = \inf_{a \in A} \|x-a\|$ is convex if and only if $A$ is convex
53132
A convex subset of a set has 'smaller' boundary than the set?
40438
Proving that closed (and open) balls are convex
143174
property of continuous function
154572
Continuity of a function at an isolated point
99179
Continuous function with compact domain has continuous inverse
44144
If $f:[a,b]\to \mathbb R$ is continuous then so is $\max_{t\in [a,x]}f(t)$?
40209
$f : S^1 \to\mathbb R$ is continuous then $f(x)=f(-x)$ for some $x\in S^1$
16463
Is the function $\mbox{tr}(XAX')$ convex?
64487
Continuous function and dense set
142740
If $\varphi \in E'$ and $A$ is convex and open then $\varphi (A)$ is an open interval
51156
Function is Continuous When Restricted to Closed Sets Which Cover the Space
15645
Is convex open set in $\mathbb{R}^n$ is regular?
64619
Continuity of a function of product spaces
116851
Show that f(x) is convex