List questions from convex-analysis

Published on 11 Apr 2026 - 8:42

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Is a constant function $f(x)=5$ both convex and concave?

Published on 13 Apr 2026 - 2:24

766

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How to prove that supremum of strictly convex function is infinity?

Published on 12 Apr 2026 - 5:10

425

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Pythagorean inequality in l1 norm for projection onto simplex

Published on 11 Apr 2026 - 10:38

93

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Does local convexity imply global convexity around a minimum?

Published on 25 Mar 2026 - 12:49

296

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Convexity conditions for an Infimum operation

Published on 09 Apr 2026 - 8:06

275

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Prox of l-1 norm over l-2 unit ball

Published on 16 Apr 2026 - 14:47

180

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If sets $A$,$B$ are closed, convex sets, they have the same boundary and their interiors intersection is non-empty, does $A=B$?

Published on 17 Apr 2026 - 6:01

1k

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Is this proof of convexity of perspective function valid without using epigraphs? [proof verification]

Published on 09 Apr 2026 - 10:32

66

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Areas of two polygons with same centroid

Published on 12 Apr 2026 - 8:44

68

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Is the definition of algebraic interior wrong?

Published on 09 Apr 2026 - 14:05

75

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Relation betwen a $p$ norm and dual norm

Published on 14 Apr 2026 - 4:58

2k

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Conditions necessary to ensure unique minimizer of $\min_x \frac{1}{2} \| Ax−b \|^2 $?

Published on 14 Apr 2026 - 22:49

301

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Has a degree of convexity ever been defined?

Published on 10 Apr 2026 - 23:29

84

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How to prove that $f(x)+\|z-x\|_H^2$ posesses a strict minimum?

Published on 10 Apr 2026 - 21:22

List Question

Showing that a function is concave

Is a constant function $f(x)=5$ both convex and concave?

How to prove that supremum of strictly convex function is infinity?

Pythagorean inequality in l1 norm for projection onto simplex

Does local convexity imply global convexity around a minimum?

Convexity conditions for an Infimum operation

Prox of l-1 norm over l-2 unit ball

If sets $A$,$B$ are closed, convex sets, they have the same boundary and their interiors intersection is non-empty, does $A=B$?

Is this proof of convexity of perspective function valid without using epigraphs? [proof verification]

Areas of two polygons with same centroid

Is the definition of algebraic interior wrong?

Relation betwen a $p$ norm and dual norm

Conditions necessary to ensure unique minimizer of $\min_x \frac{1}{2} \| Ax−b \|^2 $?

Has a degree of convexity ever been defined?

How to prove that $f(x)+\|z-x\|_H^2$ posesses a strict minimum?

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