A easy question about convex set, how can I prove A + B is a convex set?
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The Minkowski sum of two convex sets is convex
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How to prove that $e^x$ is convex?
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How can we define convexity in one dimension?
15491
Prove that $f:\mathbb R^n\to\mathbb R$ is affine if and only if it is convex and concave
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Proving $\{(x_1, x_2) \in \mathbb{R}^2_{+} \mid x_1 x_2 \geq 1\}$ is convex
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Star convex set is simply connected.
77286
Proving set theory question
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How can I prove $\sup(A+B)=\sup A+\sup B$ if $A+B=\{a+b\mid a\in A, b\in B\}$
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Let $A,B$ and $U$ be sets so that $A\subseteq U$ and $B\subseteq U$. Prove that $A\subseteq B$ iff $(U\setminus B)\subseteq(U\setminus A)$.
73074
$f \text{ convex }\Rightarrow \forall (x_0,f(x_0))\in \Gamma(f) \exists a : \forall x\in \mathbb{R}, f(x) \ge a(x-x_0)+f(x_0)$
123732
Proving that the maximum of two convex functions is also convex
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Let $A$ be a nonempty subset of $\mathbb{R}$. Prove...
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interior points and convexity
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Prove that $A,B>0$ and $A_{ij}0$
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Prove that if $0<a<Pr(A)$ then there exists $B\subset A$ such that $Pr(B)=a$
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Show that if $A$ and $B$ are sets, then $(A\cap B) \cup (A\cap \overline{B})=A$.
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Intersection of nested closed bounded convex sets in Euclidean space