Need help to show the convexity of a function
58988
Composition of convex function and affine function
82198
Proving Convexity of Multivariate Function using Conditional Univariate Convexity
106718
Prove if C is midpoint convex and closed then its a convex set
102959
Show that $f$ is convex if and only if $f\left( \sum_{i=1}^m\lambda_ix_i \right) \leq \sum_{i=1}^m\lambda_if(x_i)$
142740
If $\varphi \in E'$ and $A$ is convex and open then $\varphi (A)$ is an open interval
28399
Showing $f$ is constant
86305
A secant inequality for convex functions
58629
Show that the $\max{ \{ x,y \} }= \frac{x+y+|x-y|}{2}$.
110186
How to interpret Hessian of a function
153191
A function satisfy $x\frac{\partial f(x,y)}{\partial x}+y\frac{\partial f(x,y)}{\partial y}=0$ in a convex domain implies it is a constant
2848
Convex integral inequality
18763
injective holomorphic function on a convex set
149564
Showing that a function is in $L^1$
85153
Show that $f(x) = -\ln(x)$ is convex (WITHOUT using second derivative!)
77217
Proof that a coordinate-wise convex function is convex?
31548
Proof of "every convex function is continuous"
62135
Area under the graph of a convex function