Convexity over a line given a convex interval
116382
Showing convexity of a function with the restriction over an arbitrary line
115930
Is every convex function on an open interval continuous?
28822
$|x| - |y| \leq |x-y|?$
113922
Proof that the intersection of any finite number of convex sets is a convex set
18763
injective holomorphic function on a convex set
147420
Equivalent definitions of convexity for $f\in\mathcal C^1(\mathbb R^n)$
32110
$\forall x,y\in\partial S$, the line connecting $\{x,y\}$, $L\{x,y\}\cap\partial S=\{x,y\}$, then $S$ must be either convex or concave?
5738
Cancellation of addition on convex sets
107321
How to show convexity of a ball in metric space?
106718
Prove if C is midpoint convex and closed then its a convex set
116851
Show that f(x) is convex
71829
Is closure of convex subset of $X$ is again a convex subset of $X$?
71619
Proving that a convex function is Lipschitz
158399
Show that $\{(x_1,x_2):x_1x_2\geq4,x_1>0,x_2>0\}$ is a convex set
72659
How can we define convexity in one dimension?
60521
Continuity of a convex function
93576
Convex combination of extreme points