List questions from convex-analysis

Published on 14 Apr 2026 - 18:50

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Question about the "pointed" property of proper cone

Published on 11 Apr 2026 - 2:39

271

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Show the quadratic function $W(x_1,x_2,\ldots,x_n)=A\sum_{i} x_i^2+ \sum_{i\neq j} x_ix_j$ is strictly quasi-concave

Published on 17 Apr 2026 - 12:29

108

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Is it a convex function? $A(\theta) = \log (\sum_{i=1}^n e^{θ⋅f(i)}) - \log (\sum_{i=1}^m e^{θ⋅f(i)})$

Published on 16 Apr 2026 - 3:45

653

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How to obtain the dual of a Lagrangian?

Published on 10 Apr 2026 - 21:02

810

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Prove this basic inequality $f(y)\geq f(x)+\nabla f(x)^T(y-x)$for differentiable convex functions

Published on 17 Apr 2026 - 3:47

846

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Interesting Examples of Convex Non Smooth Functions with Non Trivial Proximal Operators

Published on 13 Apr 2026 - 0:26

68

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Doubts about a functional defined on a Sobolev space

Published on 12 Apr 2026 - 6:44

443

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Is $f(C)$ a convex set if $f$ and $C$ are convex?

Published on 11 Apr 2026 - 12:51

1.5k

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Convex hull of rotation matrices is closed and contains the origin

Published on 15 Apr 2026 - 9:31

124

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Question on distance and a closed, convex set

Published on 15 Apr 2026 - 11:55

660

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Showing a sequence of convex functions admits a uniformly convergent subsequence.

Published on 16 Apr 2026 - 3:15

942

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Why is the feasible set of a LP a polyhedron?

Published on 13 Apr 2026 - 19:38

96

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Find $f(x)$ concave and $g(y)$ convex such that $f(x)/g(y)$ is convex

Published on 15 Apr 2026 - 22:28

687

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Definition of convex set with countable sum

Published on 10 Apr 2026 - 6:38

List Question

Attempt to prove that separately convexity implies locally Lipschitz

Question about the "pointed" property of proper cone

Show the quadratic function $W(x_1,x_2,\ldots,x_n)=A\sum_{i} x_i^2+ \sum_{i\neq j} x_ix_j$ is strictly quasi-concave

Is it a convex function? $A(\theta) = \log (\sum_{i=1}^n e^{θ⋅f(i)}) - \log (\sum_{i=1}^m e^{θ⋅f(i)})$

How to obtain the dual of a Lagrangian?

Prove this basic inequality $f(y)\geq f(x)+\nabla f(x)^T(y-x)$for differentiable convex functions

Interesting Examples of Convex Non Smooth Functions with Non Trivial Proximal Operators

Doubts about a functional defined on a Sobolev space

Is $f(C)$ a convex set if $f$ and $C$ are convex?

Convex hull of rotation matrices is closed and contains the origin

Question on distance and a closed, convex set

Showing a sequence of convex functions admits a uniformly convergent subsequence.

Why is the feasible set of a LP a polyhedron?

Find $f(x)$ concave and $g(y)$ convex such that $f(x)/g(y)$ is convex

Definition of convex set with countable sum

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