Show that $(f_1of_2)(x)=\inf \{f_1(x)+f_2(x):x=x_1+x_2\}$ is convex function
116851
Show that f(x) is convex
597
f is differentiable on convex domain D and Re(f')>0 implies f is injective on D
7825
If $f$ is a concave function and $f(0) \geq 0$ then $f(a+b) \leq f(a) + f(b)$ for all $a,b >0$
116382
Showing convexity of a function with the restriction over an arbitrary line
18763
injective holomorphic function on a convex set
92029
Is this rational function convex?
135867
$f(x)=x^3$ is convex nor concave without to derivate
53024
$f(x)f(1/x)=f(x)+f(1/x)$
152841
I want to show that $f(x)=x.f(1)$ where $f:R\to R$ is additive.
66151
Solving inequality for convex functions.
36099
Show that $\|f\|^{2}$ attains a minimum value on the interior of $B$
139436
Show function $f(x,y)=(x^2-y^2,2xy)$ is $1$-$1$ by Inverse Function Theorem
126821
Let $f:[0,1]\to \mathbb{R}$. Show that $\{a \in [0,1]: f(a)\neq 0\} = \bigcup_{n=1}^{\infty} \{a \in [0,1]: |f(a)|\geq 1/n\}$
52231
Prove or disprove {$\sum_{i=1}^n x_i^2 = 1$} is convex
74608
Convex function as supremum of countably many affine functions
115495
Prove $\int _0^\infty f^2 dx \leq \cdots $ for $f$ convex
125175
convexity proof of a function including ln and sums