List questions from convex-analysis

Published on 29 Mar 2018 - 0:27

32

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Finding a unit vector $\xi$ such that $H_{K_1}(-\xi) + H_{K_2}(\xi) < 0$ for disjoint compact convex sets $K_1, K_2$

Published on 30 Mar 2018 - 15:54

72

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Prove double inequality $2^{1-p}\le x^p+(1-x)^p \le1$

Published on 27 Mar 2026 - 12:16

1.1k

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Conditions for ratio of convex functions to be convex

Published on 25 Mar 2026 - 23:38

202

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Extension of a convex function

Published on 31 Mar 2018 - 15:42

1.1k

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Convex hulls and convex combinations

Published on 24 Mar 2026 - 22:11

1.8k

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Show that the convex hull of a set S is the intersection of all convex sets that contain S

Published on 01 Apr 2018 - 8:37

130

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Minkowski's Theorem for Closed Sets, Lang's Algebraic Number Theory

Published on 01 Apr 2018 - 15:42

57

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Is the following logic right or wrong?

Published on 01 Apr 2018 - 23:53

66

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Convex Function Inequality Problem

Published on 02 Apr 2018 - 3:53

35

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Prove that $r_{0,n}$ and $r_{1,n}$ are convex on $(-\infty,0)$.

Published on 20 Mar 2026 - 1:46

48

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How to handle this kind of non-linear constraint in the optimization problem?

Published on 25 Mar 2026 - 20:42

43

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Convex functions lemma

Published on 03 Apr 2018 - 8:50

421

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Integral of Left and Right Derivative of Convex Function

Published on 03 Apr 2018 - 9:13

70

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How to prove a specific cost function shows that gradient descent is an inefficient approach to the problem?

Published on 25 Mar 2026 - 7:43

List Question

Product of convex functions with special properties

Finding a unit vector $\xi$ such that $H_{K_1}(-\xi) + H_{K_2}(\xi) < 0$ for disjoint compact convex sets $K_1, K_2$

Prove double inequality $2^{1-p}\le x^p+(1-x)^p \le1$

Conditions for ratio of convex functions to be convex

Extension of a convex function

Convex hulls and convex combinations

Show that the convex hull of a set S is the intersection of all convex sets that contain S

Minkowski's Theorem for Closed Sets, Lang's Algebraic Number Theory

Is the following logic right or wrong?

Convex Function Inequality Problem

Prove that $r_{0,n}$ and $r_{1,n}$ are convex on $(-\infty,0)$.

How to handle this kind of non-linear constraint in the optimization problem?

Convex functions lemma

Integral of Left and Right Derivative of Convex Function

How to prove a specific cost function shows that gradient descent is an inefficient approach to the problem?

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