List questions from convex-analysis

Published on 10 May 2019 - 21:24

54

Views

Supremum and norm property.

Published on 11 May 2019 - 9:25

368

Views

Is a linear combination of $\alpha$-convex functions also $\alpha$-convex?

Published on 25 Mar 2026 - 12:16

94

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How to show $\phi^*$ is finite and differentiable?

Published on 31 Mar 2026 - 10:07

454

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Convex Conjugate of sum-of-max terms

Published on 25 Mar 2026 - 13:57

752

Views

Convex function, Epigraph, Sublevel set

Published on 31 Mar 2026 - 12:10

53

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How $A$ can be divided to $n+1$ sets $a = \cup_{i=0}^n A_i$ such that $diam(A_i) \lt 1$ for $i=0,...,n.$

Published on 12 May 2019 - 21:47

37

Views

Convexity and non-convexity of a function

Published on 31 Mar 2026 - 12:21

133

Views

How to take the derivative of minimum of a norm?

Published on 13 May 2019 - 21:23

516

Views

Existence of convex defining functions for convex domains

Published on 25 Mar 2026 - 9:49

121

Views

Convex hull of the union of infinitely many convex compact, uniformly bounded, sets (in ${\mathbb R}^2$).

Published on 14 May 2019 - 1:14

362

Views

Convexity of a ${\rm tanh}^{-1}\ (x) / x$?

Published on 14 May 2019 - 3:04

280

Views

Lipschitz constant for $\|AB - C\|^2_F$ with Lipschitz continuous gradient.

Published on 26 Mar 2026 - 4:50

57

Views

Projection of functions in $L^1(\Omega)$ onto a $1$-dimensional subspace.

Published on 14 May 2019 - 11:22

118

Views

Convex hull of a quarter of an annulus

Published on 25 Mar 2026 - 6:30

List Question

Any $\mathbb R^L$ convex set can be divided into $2^L$ number of monotonic functions

Supremum and norm property.

Is a linear combination of $\alpha$-convex functions also $\alpha$-convex?

How to show $\phi^*$ is finite and differentiable?

Convex Conjugate of sum-of-max terms

Convex function, Epigraph, Sublevel set

How $A$ can be divided to $n+1$ sets $a = \cup_{i=0}^n A_i$ such that $diam(A_i) \lt 1$ for $i=0,...,n.$

Convexity and non-convexity of a function

How to take the derivative of minimum of a norm?

Existence of convex defining functions for convex domains

Convex hull of the union of infinitely many convex compact, uniformly bounded, sets (in ${\mathbb R}^2$).

Convexity of a ${\rm tanh}^{-1}\ (x) / x$?

Lipschitz constant for $\|AB - C\|^2_F$ with Lipschitz continuous gradient.

Projection of functions in $L^1(\Omega)$ onto a $1$-dimensional subspace.

Convex hull of a quarter of an annulus

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