List questions from convex-analysis

Published on 14 Apr 2026 - 4:04

45

Views

subdifferentiable implies conjugate equality

Published on 12 Apr 2026 - 19:09

67

Views

Proximal operator of the $L^1$ norm, constrained to $x\ge0$

Published on 15 Apr 2026 - 0:07

83

Views

Counter example in Fenchel-Rockafellar duality: a case where the dual has no solution?

Published on 11 Apr 2026 - 21:25

122

Views

On proving a property of Bouligand (tangent) cones

Published on 14 Apr 2026 - 9:05

83

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Convexification of $\frac{a}{12}\,(x^4-2\,x^2)+b\,x$

Published on 26 Mar 2026 - 4:34

47

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Prove that $\operatorname{cl}(\operatorname{epi}(f))\subset\operatorname{epi}(\operatorname{cl}f)$.

Published on 09 Apr 2026 - 15:24

50

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Convex function with a parameter H

Published on 14 Apr 2026 - 2:50

112

Views

Convexity of a rational objective function with quadratic numerator

Published on 25 Mar 2026 - 7:41

151

Views

Is $xf'(x)/f(x)$ increasing if $f$ is increasing and convex?

Published on 13 Apr 2026 - 3:30

59

Views

The relative interior is the union of a nested sequence of nonempty compact convex subsets

Published on 14 Apr 2026 - 15:17

42

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Optimality check for non-differentiable convex function

Published on 28 Apr 2026 - 11:21

38

Views

Show that $\langle y^1 - y^2 , x^1 - x^2 \rangle \geq 0 $

Published on 16 Apr 2026 - 22:53

130

Views

Does every pointed polyhedral cone in $\mathbb{R}^n$ generated by its $n+1$ extreme rays contain two extreme ray vectors whose sum is in the interior?

Published on 14 Apr 2026 - 2:07

51

Views

Is the function $F(x, y) = \frac{1}{y\sum_{i=0}^{n}x_i}$ convex (repost)?

Published on 16 Apr 2026 - 3:47

List Question

Check the function for convexity

subdifferentiable implies conjugate equality

Proximal operator of the $L^1$ norm, constrained to $x\ge0$

Counter example in Fenchel-Rockafellar duality: a case where the dual has no solution?

On proving a property of Bouligand (tangent) cones

Convexification of $\frac{a}{12}\,(x^4-2\,x^2)+b\,x$

Prove that $\operatorname{cl}(\operatorname{epi}(f))\subset\operatorname{epi}(\operatorname{cl}f)$.

Convex function with a parameter H

Convexity of a rational objective function with quadratic numerator

Is $xf'(x)/f(x)$ increasing if $f$ is increasing and convex?

The relative interior is the union of a nested sequence of nonempty compact convex subsets

Optimality check for non-differentiable convex function

Show that $\langle y^1 - y^2 , x^1 - x^2 \rangle \geq 0 $

Does every pointed polyhedral cone in $\mathbb{R}^n$ generated by its $n+1$ extreme rays contain two extreme ray vectors whose sum is in the interior?

Is the function $F(x, y) = \frac{1}{y\sum_{i=0}^{n}x_i}$ convex (repost)?

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