Prove the maximum of convex functions is also convex using this def.
123732
Proving that the maximum of two convex functions is also convex
142922
How to prove that $e^x$ is convex?
16463
Is the function $\mbox{tr}(XAX')$ convex?
86305
A secant inequality for convex functions
143936
Show that $f(x)=||x||^p, p\ge 1$ is convex function on $\mathbb{R}^n$
24230
Proof that CRF models and logistic models are convex functions
91123
A convex function is differentiable at all but countably many points
153798
Problem involving maximum and minimum of a continuous function
111809
Maximizing a linear function over an ellipsoid
115495
Prove $\int _0^\infty f^2 dx \leq \cdots $ for $f$ convex
25738
Jensen's Inequality implies convexity?
150609
Triangle Inequality of the Cartesian product with Max function
102959
Show that $f$ is convex if and only if $f\left( \sum_{i=1}^m\lambda_ix_i \right) \leq \sum_{i=1}^m\lambda_if(x_i)$
58988
Composition of convex function and affine function
92029
Is this rational function convex?
66151
Solving inequality for convex functions.
154247
Proving $f(x)$ attains $\max$ or $\min$ when $f(x)\to0$ as $|x|\to\infty$.