Showing convexity of function
40403
Show that the function is convex
142740
If $\varphi \in E'$ and $A$ is convex and open then $\varphi (A)$ is an open interval
105658
Show that a function that is locally increasing is increasing?
10352
Prove that $x^n$ is a convex function on $(0,\infty)$
60521
Continuity of a convex function
57096
Show that $\max{\{|a|+|b|,|c|+|d|\}} \leq \max{\{|a|,|c|\}}+\max{\{|b|,|d|\}}.$
97562
Proving Lipschitz gradient of $f(x)=\sqrt{1+\|x\|^2}$
137043
To show that function is constant
16463
Is the function $\mbox{tr}(XAX')$ convex?
9451
Show bounded and convex function on $\mathbb R$ is constant
28399
Showing $f$ is constant
67313
Proving $\{(x_1, x_2) \in \mathbb{R}^2_{+} \mid x_1 x_2 \geq 1\}$ is convex
86643
Convex function almost surely differentiable.
20614
Example of a function such that $\varphi\left(\frac{x+y}{2}\right)\leq \frac{\varphi(x)+\varphi(y)}{2}$ but $\varphi$ is not convex
82198
Proving Convexity of Multivariate Function using Conditional Univariate Convexity
16943
Midpoint-Convex and Continuous Implies Convex
116548
How to prove the real value function $f$ is convex on $[a,d]$ if $f$ is convex on both $[a,c]$ and $[b,d]$? ($a<b<c<d$).