Question

If $f$ convex, then $f(x)=\sup_{(a,b)\in E}(ax+b)$ where $E=\{(a,b)\in\mathbb Q^2\mid \forall x, f(x)\geq ax+b\}$

score 89 · Answer 1 · 2019-10-09 18:57:48

89

Views

If $f$ convex, then $f(x)=\sup_{(a,b)\in E}(ax+b)$ where $E=\{(a,b)\in\mathbb Q^2\mid \forall x, f(x)\geq ax+b\}$

Published on 09 Oct 2019 - 18:57

score 35 · Answer 2 · 2019-10-09 21:14:22

35

Views

Need help understanding convex sets

Published on 09 Oct 2019 - 21:14

score 359 · Answer 3 · 2019-10-10 09:26:57

359

Views

Proving that an uncountable union of convex sets is convex

Published on 10 Oct 2019 - 9:26

score 1.1k · Answer 4 · 2019-10-10 15:28:06

1.1k

Views

Clarke's tangent cone, Bouligand's tangent cone, and set regularity

Published on 10 Oct 2019 - 15:28

score 335 · Answer 5 · 2026-03-30 16:48:38

335

Views

When minimax theorem does not hold: counterexample of absence of convexity

Published on 30 Mar 2026 - 16:48

score 811 · Answer 6 · 2026-04-03 10:34:58

811

Views

Convex function with convex and compact domain attains maximum

Published on 03 Apr 2026 - 10:34

score 152 · Answer 7 · 2026-03-25 09:48:14

152

Views

Non-empty intersection of two convex hulls

Published on 25 Mar 2026 - 9:48

score 118 · Answer 8 · 2019-10-12 15:53:51

118

Views

Show that $f$ is a convex function

Published on 12 Oct 2019 - 15:53

score 113 · Answer 9 · 2019-10-12 18:20:52

113

Views

In optimization, when can we turn an inf to a min?

Published on 12 Oct 2019 - 18:20

score 995 · Answer 10 · 2019-10-12 21:29:49

995

Views

Concavity and Convexity of a piecewise function

Published on 12 Oct 2019 - 21:29

score 178 · Answer 11 · 2026-03-26 21:30:53

178

Views

Convex function: Comparing slopes of secant and tangent lines

Published on 26 Mar 2026 - 21:30

score 235 · Answer 12 · 2019-10-16 07:03:58

235

Views

Is $C=\{x\in\mathbb{R}^n\; :\; \max \{x_1,x_2,x_3,\dots,x_n\}\leq 1\}$ convex or not?

Published on 16 Oct 2019 - 7:03

score 112 · Answer 13 · 2026-03-25 18:45:20

112

Views

How to check if a function is convex?

Published on 25 Mar 2026 - 18:45

score 99 · Answer 14 · 2019-10-16 19:25:12

99

Views

Why should we define improper convex function so?

Published on 16 Oct 2019 - 19:25

score 269 · Answer 15 · 2026-03-25 11:19:04

269

Views

Extension of Caratheodory’s Theorem

Published on 25 Mar 2026 - 11:19

List Question

If $f$ convex, then $f(x)=\sup_{(a,b)\in E}(ax+b)$ where $E=\{(a,b)\in\mathbb Q^2\mid \forall x, f(x)\geq ax+b\}$

Need help understanding convex sets

Proving that an uncountable union of convex sets is convex

Clarke's tangent cone, Bouligand's tangent cone, and set regularity

When minimax theorem does not hold: counterexample of absence of convexity

Convex function with convex and compact domain attains maximum

Non-empty intersection of two convex hulls

Show that $f$ is a convex function

In optimization, when can we turn an inf to a min?

Concavity and Convexity of a piecewise function

Convex function: Comparing slopes of secant and tangent lines

Is $C=\{x\in\mathbb{R}^n\; :\; \max \{x_1,x_2,x_3,\dots,x_n\}\leq 1\}$ convex or not?

How to check if a function is convex?

Why should we define improper convex function so?

Extension of Caratheodory’s Theorem

Trending Questions

Popular # Hahtags

Popular Questions