Question

Are polynomials with positive coefficients convex in $[0,1]^d$?

score 390 · Answer 1 · 2026-04-09 23:36:13

390

Views

Are polynomials with positive coefficients convex in $[0,1]^d$?

Published on 09 Apr 2026 - 23:36

score 195 · Answer 2 · 2026-05-12 04:42:58

195

Views

Dual of semidefinite program (SDP)

Published on 12 May 2026 - 4:42

score 914 · Answer 3 · 2026-05-13 08:55:50

914

Views

Minimizing quadratic form for weighted least squares as a function of weights

Published on 13 May 2026 - 8:55

score 286 · Answer 4 · 2026-04-16 15:37:52

286

Views

Show that the set $\{x \in \mathbb{R}_+^3 \mid x_1 x_2 x_3 \geq 1 \} $ is convex

Published on 16 Apr 2026 - 15:37

score 135 · Answer 5 · 2026-04-12 15:29:03

135

Views

Conditions for quasi-concavity of a convex combination of quasi-concave functions

Published on 12 Apr 2026 - 15:29

score 694 · Answer 6 · 2026-05-07 04:58:31

694

Views

Convexity of the set $C = \{x \in \Bbb R^n \mid x^T Ax \leq b\}$ where $A \in S^n$, $A \succeq 0$ and $b \geq 0$

Published on 07 May 2026 - 4:58

score 180 · Answer 7 · 2026-04-16 15:59:30

180

Views

The dual cone of $\{(x, t) \,|\, ||x||_1 \le t\}$

Published on 16 Apr 2026 - 15:59

score 426 · Answer 8 · 2026-05-10 15:45:33

426

Views

Is the positive linear combinations of pseudoconvex functions pseudoconvex?

Published on 10 May 2026 - 15:45

score 92 · Answer 9 · 2026-04-10 07:30:32

92

Views

An inequality involving a quasiconvex function with binomial and power terms

Published on 10 Apr 2026 - 7:30

score 66 · Answer 10 · 2026-04-11 01:15:20

66

Views

Integral inequality involving the convex envelope

Published on 11 Apr 2026 - 1:15

score 178 · Answer 11 · 2026-05-11 08:00:53

178

Views

Distance of points in Banach space

Published on 11 May 2026 - 8:00

score 15 · Answer 12 · 2026-04-15 05:00:44

15

Views

Recovering a convex subset from its projections onto rays

Published on 15 Apr 2026 - 5:00

score 65 · Answer 13 · 2026-04-15 13:54:26

65

Views

Given a convex differentiable function $f: \mathbb{R} \to \mathbb{R}$,(dis) prove $f(x) \geq x$

Published on 15 Apr 2026 - 13:54

score 107 · Answer 14 · 2026-05-10 14:51:20

107

Views

References to a Convex Analysis result.

Published on 10 May 2026 - 14:51

score 116 · Answer 15 · 2026-05-10 17:00:47

116

Views

Convex Cones are closed under addition, can we infer from $A + B \in C$ that $A, B \in C$?

Published on 10 May 2026 - 17:00

List Question

Are polynomials with positive coefficients convex in $[0,1]^d$?

Dual of semidefinite program (SDP)

Minimizing quadratic form for weighted least squares as a function of weights

Show that the set $\{x \in \mathbb{R}_+^3 \mid x_1 x_2 x_3 \geq 1 \} $ is convex

Conditions for quasi-concavity of a convex combination of quasi-concave functions

Convexity of the set $C = \{x \in \Bbb R^n \mid x^T Ax \leq b\}$ where $A \in S^n$, $A \succeq 0$ and $b \geq 0$

The dual cone of $\{(x, t) \,|\, ||x||_1 \le t\}$

Is the positive linear combinations of pseudoconvex functions pseudoconvex?

An inequality involving a quasiconvex function with binomial and power terms

Integral inequality involving the convex envelope

Distance of points in Banach space

Recovering a convex subset from its projections onto rays

Given a convex differentiable function $f: \mathbb{R} \to \mathbb{R}$,(dis) prove $f(x) \geq x$

References to a Convex Analysis result.

Convex Cones are closed under addition, can we infer from $A + B \in C$ that $A, B \in C$?

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