Question

Noncoercive convex function with bounded set of minimizers

score 111 · Answer 1 · 2026-04-12 03:50:43

111

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Noncoercive convex function with bounded set of minimizers

Published on 12 Apr 2026 - 3:50

score 364 · Answer 2 · 2026-04-15 12:07:09

364

Views

If $f:\mathbb{R}\to\mathbb{R}$ is strictly increasing and convex in $\mathbb{R}$ prove $\lim_{x\to\infty} f(x)=\infty$

Published on 15 Apr 2026 - 12:07

score 126 · Answer 3 · 2026-04-18 13:58:29

126

Views

Convex conjugate of the indicator on the set $\{ x: 1^Tx = k\}$

Published on 18 Apr 2026 - 13:58

score 113 · Answer 4 · 2026-04-17 13:46:32

113

Views

Prove the inequality $e^x \geq 1+\ln(x+1)$ where $x\geq-1$

Published on 17 Apr 2026 - 13:46

score 174 · Answer 5 · 2026-04-16 16:18:39

174

Views

Example nonconvex-nonconcave function with some properties

Published on 16 Apr 2026 - 16:18

score 178 · Answer 6 · 2026-04-13 05:51:56

178

Views

Does convexity on a set implies hessian PSD on the boundary?

Published on 13 Apr 2026 - 5:51

score 80 · Answer 7 · 2026-04-10 20:57:30

80

Views

Precise definition of convex polygons/polyhedra

Published on 10 Apr 2026 - 20:57

score 74 · Answer 8 · 2026-04-14 23:06:49

74

Views

Why is $(1,1,...)$ an extreme point of a closed unit ball in $c$?

Published on 14 Apr 2026 - 23:06

score 131 · Answer 9 · 2026-04-10 23:53:12

131

Views

Dimension of affine hull of a convex set.

Published on 10 Apr 2026 - 23:53

score 107 · Answer 10 · 2026-04-13 08:02:18

107

Views

When would a zero partial derivative guarantee that the function is independent of the variable?

Published on 13 Apr 2026 - 8:02

score 30 · Answer 11 · 2026-04-16 11:05:16

30

Views

Is $f(x,y)=(x+1)(y+1)$ strictly convex over $[0,\infty)^2$?

Published on 16 Apr 2026 - 11:05

score 177 · Answer 12 · 2026-04-16 19:00:13

177

Views

Show $2F\left(\frac{x+y}{2}\right)\geq F(x)+F(y)$

Published on 16 Apr 2026 - 19:00

score 45 · Answer 13 · 2026-04-11 19:30:56

45

Views

If function is concave in each of its variables keeping the rest fixed, is the function concave.

Published on 11 Apr 2026 - 19:30

score 283 · Answer 14 · 2026-02-23 00:49:38

283

Views

Homogeneous of degree one functions that are a monotonic transformation of an additively separable function

Published on 23 Feb 2026 - 0:49

score 40 · Answer 15 · 2026-04-13 01:20:53

40

Views

Characterization of point on the boundary vs point on the relative boundary via sequences

Published on 13 Apr 2026 - 1:20

List Question

Noncoercive convex function with bounded set of minimizers

If $f:\mathbb{R}\to\mathbb{R}$ is strictly increasing and convex in $\mathbb{R}$ prove $\lim_{x\to\infty} f(x)=\infty$

Convex conjugate of the indicator on the set $\{ x: 1^Tx = k\}$

Prove the inequality $e^x \geq 1+\ln(x+1)$ where $x\geq-1$

Example nonconvex-nonconcave function with some properties

Does convexity on a set implies hessian PSD on the boundary?

Precise definition of convex polygons/polyhedra

Why is $(1,1,...)$ an extreme point of a closed unit ball in $c$?

Dimension of affine hull of a convex set.

When would a zero partial derivative guarantee that the function is independent of the variable?

Is $f(x,y)=(x+1)(y+1)$ strictly convex over $[0,\infty)^2$?

Show $2F\left(\frac{x+y}{2}\right)\geq F(x)+F(y)$

If function is concave in each of its variables keeping the rest fixed, is the function concave.

Homogeneous of degree one functions that are a monotonic transformation of an additively separable function

Characterization of point on the boundary vs point on the relative boundary via sequences

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