List questions from convex-analysis

Published on 28 Oct 2019 - 9:26

161

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integrating sub derivative of convex function

Published on 06 Apr 2026 - 20:46

54

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If the expectation of a random vector is an extreme point, then it is almost surely that point

Published on 02 Apr 2026 - 15:15

61

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How to show that this set is closed?

Published on 03 Apr 2026 - 14:07

53

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Continuity is not guaranteed even when the function is closed and convex. Why?

Published on 09 Apr 2026 - 21:56

1.7k

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Prove that convex function is bounded from below

Published on 11 Apr 2026 - 6:11

63

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Where on $\mathbb{R}^2$ is $f(x,y) = x^3y^2(1-x-y)$ strictly convex/concave?

Published on 29 Oct 2019 - 13:12

53

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Find smallest ellipsoid centred at 0 that encloses ellipsoid centred at x0

Published on 25 Mar 2026 - 9:27

1.8k

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Conjugate of negative normalized entropy

Published on 27 Mar 2026 - 0:02

717

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How to prove that a convex function $f(x)$ with $f(0) = 0$ satisfes $f'(x)x \ge f(x)$?

Published on 31 Oct 2019 - 7:50

39

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inverse of the normalized duality mapping

Published on 25 Mar 2026 - 17:37

89

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Characterizing convex functions by a Jensen-type inequality

Published on 25 Mar 2026 - 12:46

57

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Proving three convex surfaces intersect using 2 Dimensional intermediate value theorem

Published on 09 Apr 2026 - 3:34

167

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$\{x^TQx \leq \alpha\}$ is convex when $Q$ is SPD

Published on 27 Mar 2026 - 0:03

1.1k

Views

$g(x)$ is convex. Show that $h(x) = \max(g(x), m)$ is convex

Published on 04 Nov 2019 - 3:50

List Question

How can we prove the harmonic mean is a concave function?

integrating sub derivative of convex function

If the expectation of a random vector is an extreme point, then it is almost surely that point

How to show that this set is closed?

Continuity is not guaranteed even when the function is closed and convex. Why?

Prove that convex function is bounded from below

Where on $\mathbb{R}^2$ is $f(x,y) = x^3y^2(1-x-y)$ strictly convex/concave?

Find smallest ellipsoid centred at 0 that encloses ellipsoid centred at x0

Conjugate of negative normalized entropy

How to prove that a convex function $f(x)$ with $f(0) = 0$ satisfes $f'(x)x \ge f(x)$?

inverse of the normalized duality mapping

Characterizing convex functions by a Jensen-type inequality

Proving three convex surfaces intersect using 2 Dimensional intermediate value theorem

$\{x^TQx \leq \alpha\}$ is convex when $Q$ is SPD

$g(x)$ is convex. Show that $h(x) = \max(g(x), m)$ is convex

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