List questions from convex-analysis

Published on 28 Apr 2014 - 13:23

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Convex closed and unclosed functions and (lower semi)continuity

Published on 25 Mar 2026 - 3:49

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Is the cone of rank-$1$ matrices convex and closed?

Published on 28 Mar 2026 - 1:07

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Dual of dual cone of nonconvex closed cone

Published on 25 Mar 2026 - 1:38

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Scaling of a Proximal Operator - $\mathrm{Prox}_{f}(x)$ and $\mathrm{Prox}_{af}(x)$

Published on 25 Mar 2026 - 6:05

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Show that for $f,g: [0, + \infty) \to \mathbb{R}$ convex functions of Class $C^2$ their product $fg$ is convex

Published on 30 Mar 2026 - 7:41

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Minimization of product function subject to constraints

Published on 01 May 2014 - 5:54

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Notion of a concave function and proving ln is concave

Published on 01 May 2014 - 13:51

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How to prove that $f$ is convex function if $f(\frac{x+y}2)\leq \frac12f(x) + \frac12f(y)$ and $f$ is continuous?

Published on 01 May 2014 - 14:34

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Showing a function is concave

Published on 01 Apr 2026 - 16:06

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an elementary inequality about convex function

Published on 03 May 2014 - 5:49

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Minimization of log-sum-exponential function subject to constraints.

Published on 01 Apr 2026 - 23:57

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Decreasing Function Projected onto Simplex

Published on 01 Apr 2026 - 23:47

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How to prove that the following function is convex?

Published on 05 May 2014 - 16:31

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Composition of non-monotonic convex function

Published on 26 Mar 2026 - 9:38

List Question

The conjugate relation between two functions.

Convex closed and unclosed functions and (lower semi)continuity

Is the cone of rank-$1$ matrices convex and closed?

Dual of dual cone of nonconvex closed cone

Scaling of a Proximal Operator - $\mathrm{Prox}_{f}(x)$ and $\mathrm{Prox}_{af}(x)$

Show that for $f,g: [0, + \infty) \to \mathbb{R}$ convex functions of Class $C^2$ their product $fg$ is convex

Minimization of product function subject to constraints

Notion of a concave function and proving ln is concave

How to prove that $f$ is convex function if $f(\frac{x+y}2)\leq \frac12f(x) + \frac12f(y)$ and $f$ is continuous?

Showing a function is concave

an elementary inequality about convex function

Minimization of log-sum-exponential function subject to constraints.

Decreasing Function Projected onto Simplex

How to prove that the following function is convex?

Composition of non-monotonic convex function

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