List questions from convex-analysis

Published on 13 Apr 2026 - 15:57

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Proximal Operator of the Euclidean Norm ($ {L}_{2} $ Norm)

Published on 14 Apr 2026 - 13:49

75

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Solving a convex optimization problem

Published on 11 Apr 2026 - 1:31

504

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Proximal / Prox Operator of a Unit Ball Function

Published on 11 Apr 2026 - 10:49

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Maximum radius of an image set after linear transformation

Published on 13 Apr 2026 - 16:23

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How to show that the square of a concave function satisfies this upper bound?

Published on 12 Apr 2026 - 18:35

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Proving ${\rm dist}(f, L^{\perp}) := \sup\{ \langle f,x\rangle \mid \|x\| \leq 1, \; x \in L\}$

Published on 15 Apr 2026 - 22:46

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Closed convex sets in a normed linear space

Published on 15 Apr 2026 - 7:38

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What is a strictly convex function that is not strongly convex?

Published on 13 Apr 2026 - 15:10

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Show that the epigraph of $f(x) = 0, x < 0, \text{ and } 1, x\geq 0$ is not closed by examining a plot of the function

Published on 14 Apr 2026 - 23:07

628

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Mean Value Theorem for Convex derivatives

Published on 13 Apr 2026 - 13:48

421

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$P \mapsto \left\| P X P' - Y \right\|_1$ is tagged as non-convex by Julia

Published on 27 Mar 2026 - 22:52

1.1k

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Does the second derivative of a convex function exist at all but countably many points?

Published on 12 Apr 2026 - 1:39

162

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Show $f\left(\sum\limits_{k=1}^n \lambda_k x_k\right) \leq \sum\limits_{k=1}^n \lambda_k f(x_k)$

Published on 16 Apr 2026 - 21:11

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Prove the function is concave, using log-sum-exp and geometric mean.

Published on 11 Apr 2026 - 16:07

List Question

Two equivalent conditions of a strictly convex space.

Proximal Operator of the Euclidean Norm ($ {L}_{2} $ Norm)

Solving a convex optimization problem

Proximal / Prox Operator of a Unit Ball Function

Maximum radius of an image set after linear transformation

How to show that the square of a concave function satisfies this upper bound?

Proving ${\rm dist}(f, L^{\perp}) := \sup\{ \langle f,x\rangle \mid \|x\| \leq 1, \; x \in L\}$

Closed convex sets in a normed linear space

What is a strictly convex function that is not strongly convex?

Show that the epigraph of $f(x) = 0, x < 0, \text{ and } 1, x\geq 0$ is not closed by examining a plot of the function

Mean Value Theorem for Convex derivatives

$P \mapsto \left\| P X P' - Y \right\|_1$ is tagged as non-convex by Julia

Does the second derivative of a convex function exist at all but countably many points?

Show $f\left(\sum\limits_{k=1}^n \lambda_k x_k\right) \leq \sum\limits_{k=1}^n \lambda_k f(x_k)$

Prove the function is concave, using log-sum-exp and geometric mean.

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