List questions from convex-analysis

Published on 01 Apr 2026 - 7:41

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Why is the epigraph of Moreau-Yosida Regularization a projection of a convex set?

Published on 23 Feb 2026 - 4:57

174

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Partitioning $\mathbb{R}^3$ into two convex sets.

Published on 26 Mar 2026 - 7:57

194

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Isotonic regression with a linear constraint

Published on 26 Mar 2026 - 1:14

246

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Prove that $x\log x$ is midpoint convex.

Published on 13 Feb 2019 - 1:31

335

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Does the convex hull of a sphere contain every point on its surface?

Published on 13 Feb 2019 - 1:44

305

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How to prove that the subgradient of a dual function contains the equality constraint for closed and convex function?

Published on 30 Mar 2026 - 5:28

27

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The boundness of a polyhedral set implies that $y \in \mathbb{R}^n $ is equal to zero

Published on 25 Mar 2026 - 5:02

744

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How to prove that the affine hull of a set is a closed set.

Published on 14 Feb 2019 - 6:55

52

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Problem about the difference of two power

Published on 14 Feb 2019 - 7:22

635

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Is ‎$‎f‎$‎ ‎monotone ‎when ‎$‎f‎$ ‎is ‎concave?‎

Published on 26 Mar 2026 - 2:54

451

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If $f:I\to \mathbb{R}$ is convex and interval $I$ is bounded, prove that $f$ is bounded below.

Published on 14 Feb 2019 - 12:36

73

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Prove two convex sets are equal

Published on 14 Feb 2019 - 18:52

109

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Sufficient conditions for minimum to exist in non-compact subset of normed vector space

Published on 26 Mar 2026 - 9:42

1.1k

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Prove or disprove: convex function $f:[a,b] \to \mathbb{R}$ attains a minimum value on $[a,b]$

Published on 15 Feb 2019 - 0:55

List Question

Problems about the convex hull.

Why is the epigraph of Moreau-Yosida Regularization a projection of a convex set?

Partitioning $\mathbb{R}^3$ into two convex sets.

Isotonic regression with a linear constraint

Prove that $x\log x$ is midpoint convex.

Does the convex hull of a sphere contain every point on its surface?

How to prove that the subgradient of a dual function contains the equality constraint for closed and convex function?

The boundness of a polyhedral set implies that $y \in \mathbb{R}^n $ is equal to zero

How to prove that the affine hull of a set is a closed set.

Problem about the difference of two power

Is ‎$‎f‎$‎ ‎monotone ‎when ‎$‎f‎$ ‎is ‎concave?‎

If $f:I\to \mathbb{R}$ is convex and interval $I$ is bounded, prove that $f$ is bounded below.

Prove two convex sets are equal

Sufficient conditions for minimum to exist in non-compact subset of normed vector space

Prove or disprove: convex function $f:[a,b] \to \mathbb{R}$ attains a minimum value on $[a,b]$

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