List questions from convex-analysis

Published on 17 Apr 2026 - 5:44

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What are good examples of polar sets in $\mathbb R^2$?

Published on 13 Apr 2026 - 12:14

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Prox Operator of the Projection to $\mathbb{R}_{+} $

Published on 12 Apr 2026 - 21:30

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How can I prove this set is convex?

Published on 12 Apr 2026 - 15:31

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Prove that half plane is convex

Published on 14 Apr 2026 - 17:29

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Why neg. cone is not bounded

Published on 11 Apr 2026 - 10:37

51

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Is there a technical term for functions with $(-1)^n f^{(n)} \ge 0$ for all $n$?

Published on 14 Apr 2026 - 11:00

23

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$f$ and the domain are convex but not constant, $\hat{x} \in X$ is the maximizer, then it is possible that $\hat{x}$ is not an extreme point

Published on 15 Apr 2026 - 13:03

266

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Uniform Convergence of convex functions implies convergence of derivatives in $L^1$?

Published on 16 Apr 2026 - 1:24

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What is the definition of multidimensional convex function?

Published on 09 Apr 2026 - 0:39

96

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Asymptotic number of black balls in urn, asymptotic number of red balls.

Published on 11 Apr 2026 - 20:31

61

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Proof for convexity of a function

Published on 25 Mar 2026 - 21:44

421

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Is the set $S = \{x \in [0, \infty)^2 \mid x_1 x_2^2 \leq 1\}$ convex?

Published on 22 Apr 2026 - 21:42

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Proof of an equivalent definition of strictly convex?

Published on 24 Apr 2026 - 6:49

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How to prove that if the level set of f for some level α is non-empty and bounded, then the level set of f for all levels are bounded

Published on 15 Apr 2026 - 13:14

List Question

Gradient of the squared distance to a closed convex set?

What are good examples of polar sets in $\mathbb R^2$?

Prox Operator of the Projection to $\mathbb{R}_{+} $

How can I prove this set is convex?

Prove that half plane is convex

Why neg. cone is not bounded

Is there a technical term for functions with $(-1)^n f^{(n)} \ge 0$ for all $n$?

$f$ and the domain are convex but not constant, $\hat{x} \in X$ is the maximizer, then it is possible that $\hat{x}$ is not an extreme point

Uniform Convergence of convex functions implies convergence of derivatives in $L^1$?

What is the definition of multidimensional convex function?

Asymptotic number of black balls in urn, asymptotic number of red balls.

Proof for convexity of a function

Is the set $S = \{x \in [0, \infty)^2 \mid x_1 x_2^2 \leq 1\}$ convex?

Proof of an equivalent definition of strictly convex?

How to prove that if the level set of f for some level α is non-empty and bounded, then the level set of f for all levels are bounded

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