List questions from convex-analysis

Published on 11 May 2026 - 4:18

58

Views

To evaluate a monotonic function over a convex set, does it suffice to consider the vertices?

Published on 12 Apr 2026 - 5:06

3k

Views

Is the "$p$-norm" with $0<p<1$ a concave function

Published on 13 Apr 2026 - 10:40

153

Views

Why are the other constraints inactive?

Published on 14 Apr 2026 - 15:00

70

Views

Positive semi-definiteness of the Jacobian of the partial derivatives of distinct convex functions

Published on 10 May 2026 - 15:03

54

Views

A condition for a function of the form $\langle x, F(x)\rangle$ to attain its minimum

Published on 14 Apr 2026 - 22:14

51

Views

Strict inequality in the environment of convexity

Published on 12 Apr 2026 - 5:56

3.5k

Views

How to prove a cone is convex and closed?

Published on 11 Apr 2026 - 8:05

166

Views

Does a constrained nonlinear program only have one KKT point?

Published on 10 May 2026 - 12:30

40

Views

Show that a function is increasing at a given interval

Published on 14 May 2026 - 22:05

228

Views

Alternative way to verify a function of $\mathbb R^2$ is strictly convex?

Published on 12 Apr 2026 - 2:49

615

Views

How many convex functions are there in $[0,1]^2$?

Published on 16 Apr 2026 - 13:46

60

Views

Is the function $g(x,h(z))=xf\left(\frac{h(z)}{x}\right)$ a convex function of $(x,z)$?

Published on 10 Apr 2026 - 5:58

473

Views

The "$p$-norm" with $0<p<1$ is quasiconcave for nonnegative vectors

Published on 13 Apr 2026 - 7:58

451

Views

clarifying the definition of the Lagrange dual function, and how to find it systematically

Published on 10 May 2026 - 15:08

List Question

Connected components of the difference of convex bodies

To evaluate a monotonic function over a convex set, does it suffice to consider the vertices?

Is the "$p$-norm" with $0<p<1$ a concave function

Why are the other constraints inactive?

Positive semi-definiteness of the Jacobian of the partial derivatives of distinct convex functions

A condition for a function of the form $\langle x, F(x)\rangle$ to attain its minimum

Strict inequality in the environment of convexity

How to prove a cone is convex and closed?

Does a constrained nonlinear program only have one KKT point?

Show that a function is increasing at a given interval

Alternative way to verify a function of $\mathbb R^2$ is strictly convex?

How many convex functions are there in $[0,1]^2$?

Is the function $g(x,h(z))=xf\left(\frac{h(z)}{x}\right)$ a convex function of $(x,z)$?

The "$p$-norm" with $0<p<1$ is quasiconcave for nonnegative vectors

clarifying the definition of the Lagrange dual function, and how to find it systematically

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