List questions from convex-analysis

Published on 26 Mar 2026 - 6:30

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A bounded convex function

Published on 28 Jul 2019 - 4:37

26

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Existence of a like affine function

Published on 28 Jul 2019 - 17:55

67

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Matrix inequality with convex elements

Published on 30 Mar 2026 - 11:53

87

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Define a convex set in a linear space $X$. Show that the open ball $ B(0, δ) $ is a convex set in a linear space $ \Bbb R^n $ over $ \Bbb R $.

Published on 03 Apr 2026 - 16:08

1.4k

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The Sub Gradient and the Proximal Operator of the of $ {L}_{2, 1} $ Norm (Mixed Norm)

Published on 25 Mar 2026 - 4:41

263

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Inequality with projection in convex set

Published on 26 Mar 2026 - 6:33

149

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Convexity of a log-determinant function

Published on 31 Mar 2026 - 21:08

41

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What is the dual(polar) of $ A := \{ y(.) \in L_1 [0,T]\; |\; y(t) \in C ~ \mbox{for almost all} ~t\in [0 ,T] \} $?

Published on 26 Mar 2026 - 6:07

124

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Inequality for the division of expectations of convex functions

Published on 01 Apr 2026 - 9:38

41

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Prove$f(x)=\int_{2}^{x^2}\int_{0}^{s}e^{-t^2}\ dtds$ is continuous and convex

Published on 01 Aug 2019 - 9:15

2.1k

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Proof that local minimizer of a convex function is also a global minimizer

Published on 26 Mar 2026 - 11:04

136

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Do gradients existing almost everywhere for a pointwise maximum function

Published on 25 Mar 2026 - 6:25

23

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Guess the projection $\Pi_c\textbf{x}$ of the vector $\textbf{x}:=(3,1,5,3)^\top$ onto $\textbf{C}$ which is a closed convex cone

Published on 26 Mar 2026 - 12:37

30

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When do the subdifferentials preserve limits?

Published on 29 Mar 2026 - 16:33

List Question

Projection onto a linear transformation of the non-negative orthant

A bounded convex function

Existence of a like affine function

Matrix inequality with convex elements

Define a convex set in a linear space $X$. Show that the open ball $ B(0, δ) $ is a convex set in a linear space $ \Bbb R^n $ over $ \Bbb R $.

The Sub Gradient and the Proximal Operator of the of $ {L}_{2, 1} $ Norm (Mixed Norm)

Inequality with projection in convex set

Convexity of a log-determinant function

What is the dual(polar) of $ A := \{ y(.) \in L_1 [0,T]\; |\; y(t) \in C ~ \mbox{for almost all} ~t\in [0 ,T] \} $?

Inequality for the division of expectations of convex functions

Prove$f(x)=\int_{2}^{x^2}\int_{0}^{s}e^{-t^2}\ dtds$ is continuous and convex

Proof that local minimizer of a convex function is also a global minimizer

Do gradients existing almost everywhere for a pointwise maximum function

Guess the projection $\Pi_c\textbf{x}$ of the vector $\textbf{x}:=(3,1,5,3)^\top$ onto $\textbf{C}$ which is a closed convex cone

When do the subdifferentials preserve limits?

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