List questions from convex-analysis

Published on 08 Apr 2026 - 21:17

308

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Does convexity at a point imply existence of one-sided derivatives?

Published on 08 Apr 2026 - 11:00

272

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Does convexity at a single point imply convexity w.r.t finite convex combinations?

Published on 25 Mar 2026 - 20:36

350

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When is the sum of a quasi-convex function and a convex function quasi-convex?

Published on 14 Apr 2026 - 11:21

404

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Projection onto a closed convex set in a general Hilbert space

Published on 14 Apr 2026 - 8:50

1.1k

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Is the $\arg\min$ of a strictly convex function continuous?

Published on 12 Apr 2026 - 9:08

63

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Proving a transformation preserves a property

Published on 17 Apr 2026 - 7:46

138

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Derivation of the Convexity Relation for Multivariable Function

Published on 25 Mar 2026 - 22:09

111

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The non-expansion of projection with three terms

Published on 10 Apr 2026 - 15:00

711

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Proof verification: $f$ is convex iff $f'$ is monotonically increasing

Published on 17 Apr 2026 - 3:41

309

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Fenchel conjugate of convex combination of two norms

Published on 27 Mar 2026 - 10:47

178

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Smoothness (i.e. Lipschitz continuous gradient) of supremum

Published on 16 Apr 2026 - 6:51

355

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Theorem for the Optimization of Linear Function over a Bounded Polyhedron

Published on 16 Apr 2026 - 17:35

325

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How to prove that $\frac{\cosh (2 \pi x)}{x^2}$ is convex?

Published on 15 Apr 2026 - 7:02

123

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Quadratic form can be represented as a convex combination of $\frac{n(n+1)}{2}+1$ ones

Published on 16 Apr 2026 - 13:28

List Question

first order condition for quasiconvex functions

Does convexity at a point imply existence of one-sided derivatives?

Does convexity at a single point imply convexity w.r.t finite convex combinations?

When is the sum of a quasi-convex function and a convex function quasi-convex?

Projection onto a closed convex set in a general Hilbert space

Is the $\arg\min$ of a strictly convex function continuous?

Proving a transformation preserves a property

Derivation of the Convexity Relation for Multivariable Function

The non-expansion of projection with three terms

Proof verification: $f$ is convex iff $f'$ is monotonically increasing

Fenchel conjugate of convex combination of two norms

Smoothness (i.e. Lipschitz continuous gradient) of supremum

Theorem for the Optimization of Linear Function over a Bounded Polyhedron

How to prove that $\frac{\cosh (2 \pi x)}{x^2}$ is convex?

Quadratic form can be represented as a convex combination of $\frac{n(n+1)}{2}+1$ ones

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