Let $C \subset \mathbb{R}^{m}$ be a convex set. Prove that $\bar{C}$ is also convex
71829
Is closure of convex subset of $X$ is again a convex subset of $X$?
96590
Convex cyclic hexagon $ABCDEF$. Prove $AC \cdot BD \cdot CE \cdot DF \cdot AE \cdot BF \geq 27 AB \cdot BC \cdot CD \cdot DE \cdot EF \cdot FA$
143000
Show that there exists a $c\in \mathbb{C}$ such that $f(z)=c \bar{z}$ for all $\vert z\vert=1$.
82198
Proving Convexity of Multivariate Function using Conditional Univariate Convexity
15924
Convexity and strong lower semicontinuity imply weak lower semicontinuity
58988
Composition of convex function and affine function
150727
Characterization convex function.
56081
Prove that the ellipsoid $E = \{ (x,y,z) \in R^3 \mid \frac{x^2}{a^2} + \frac{y^2}{b^2} + \frac{z^2}{c^2} \leq 1 \}$ is convex
147420
Equivalent definitions of convexity for $f\in\mathcal C^1(\mathbb R^n)$
145104
$T:$ $\mathbb{C}$ $\to$ $\mathbb{C}$ by $T(z)=\lambda z + \mu \bar{z}$ for every $z \in \mathbb{C}$
58277
If nonempty, nonsingleton $Y$ is a proper convex subset of a simply ordered set $X$, then $Y$ is ray or interval?
80827
Let $A$ be a nonempty subset of $\mathbb{R}$. Prove...
71619
Proving that a convex function is Lipschitz
125175
convexity proof of a function including ln and sums
142922
How to prove that $e^x$ is convex?
10531
Is the convex hull of a compact set compact?
78229
Proving that the tangent to a convex function is always below the function