Convex function supremum of countable affine function
74608
Convex function as supremum of countably many affine functions
31548
Proof of "every convex function is continuous"
9451
Show bounded and convex function on $\mathbb R$ is constant
158399
Show that $\{(x_1,x_2):x_1x_2\geq4,x_1>0,x_2>0\}$ is a convex set
5076
Minimize Function over Convex Subset
24749
Monotone functions and Borel sets
16943
Midpoint-Convex and Continuous Implies Convex
63526
Proving that $(\sup_{x\in R}|f'(x)|)^2\leq 4\sup_{x\in R}|f(x)|\cdot\sup_{x\in R}|f''(x)|$.
10352
Prove that $x^n$ is a convex function on $(0,\infty)$
142922
How to prove that $e^x$ is convex?
47637
Are strict local minima of a general function always countable?
87536
Supremum of the infimum
78229
Proving that the tangent to a convex function is always below the function
116851
Show that f(x) is convex
76140
The supremum norm is submultiplicative
77855
Prove that if $A$ has a maximum, then the maximum must be the supremum
113594
Convex combination of quasiconvex functions.