convex function in open interval is continuous
115930
Is every convex function on an open interval continuous?
16943
Midpoint-Convex and Continuous Implies Convex
131992
A problem on continuous functions
16463
Is the function $\mbox{tr}(XAX')$ convex?
5881
$\sqrt x$ is uniformly continuous
18082
A continuous function that attains neither its minimum nor its maximum at any open interval is monotone
91398
Continuous function on R which tends to infinity on open interval must have a minimum
44402
If $\{x:f(x) > a\}$ and $\{x:f(x) < a\}$ are open$\forall~a\in\mathbb{R}$ then f is continuous.
150727
Characterization convex function.
100740
proof of that a continuous function has a fixed point
36371
Exercise on convex functions
9451
Show bounded and convex function on $\mathbb R$ is constant
143174
property of continuous function
69283
The limit points of an open interval (open set)
17223
Continuity of an inverse function.
147247
Continuous function on closed unit ball
126259
Minimum of a function on an open interval