Question

Analyzing the convexity of a superadditive function

score 94 · Answer 1 · 2026-03-25 22:23:50

94

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Analyzing the convexity of a superadditive function

Published on 25 Mar 2026 - 22:23

score 41 · Answer 2 · 2026-03-25 01:17:35

41

Views

Shifting of saddle point of lagrangian when changing the active constraint

Published on 25 Mar 2026 - 1:17

score 53 · Answer 3 · 2026-03-25 04:57:30

53

Views

Please explain this proof to me on convex analysis: what does it mean to be bounded here?

Published on 25 Mar 2026 - 4:57

score 297 · Answer 4 · 2026-03-27 07:38:23

297

Views

Determining the polar of the following set:

Published on 27 Mar 2026 - 7:38

score 284 · Answer 5 · 2026-03-26 11:16:51

284

Views

Is the quotient between convex and positive concave function a convex function?

Published on 26 Mar 2026 - 11:16

score 38 · Answer 6 · 2018-04-25 14:22:29

38

Views

Does $G$ increasing and strictly convex imply $\big(G'(b_2)+2\lambda G(b_2)>G'(b_1)+\lambda G(b_1)\big)\implies b_2>b_1$?

Published on 25 Apr 2018 - 14:22

score 180 · Answer 7 · 2018-04-25 20:18:22

180

Views

Intermediate Value Theorem and Fundamental Theorem of Calculus question

Published on 25 Apr 2018 - 20:18

score 208 · Answer 8 · 2026-03-24 23:46:44

208

Views

Generalization of characterization of projection onto a convex set

Published on 24 Mar 2026 - 23:46

score 342 · Answer 9 · 2018-04-26 03:25:45

342

Views

convex set in $R^n$ cannot have its barycenter at boundary?

Published on 26 Apr 2018 - 3:25

score 67 · Answer 10 · 2026-03-26 09:13:30

67

Views

Is there a convex function tending to $\infty$ and bounded above by $(\log x)^2$?

Published on 26 Mar 2026 - 9:13

score 4.7k · Answer 11 · 2026-03-24 22:16:05

4.7k

Views

How is the subdifferential of the $l_2$ norm at $x=0$ the polar of the unit ball?

Published on 24 Mar 2026 - 22:16

score 50 · Answer 12 · 2026-03-26 10:43:38

50

Views

Show that $g(x)=\frac{1}{x}f \left( \frac{(1-x)A+xB}{ (1-x)C+xD} \right)$ is decreasing for small enough $x>0$.

Published on 26 Mar 2026 - 10:43

score 263 · Answer 13 · 2026-03-26 11:18:22

263

Views

Is relative boundary of the epigraph the same as relative interior of the domain of a convex function?

Published on 26 Mar 2026 - 11:18

score 1.6k · Answer 14 · 2026-03-23 00:05:37

1.6k

Views

How to show $\partial f(x) =\{\nabla f(x) \}$ for a convex differentiable function?

Published on 23 Mar 2026 - 0:05

score 54 · Answer 15 · 2018-04-29 04:46:12

Let $ \ A \ $ be a positive definite matrix . Prove that $ \ \frac{1}{2} \left\langle Ax-b \ , \ A^{-1}(Ax-b)\right\rangle \ $ is strictly convex

List Question

Analyzing the convexity of a superadditive function

Shifting of saddle point of lagrangian when changing the active constraint

Please explain this proof to me on convex analysis: what does it mean to be bounded here?

Determining the polar of the following set:

Is the quotient between convex and positive concave function a convex function?

Does $G$ increasing and strictly convex imply $\big(G'(b_2)+2\lambda G(b_2)>G'(b_1)+\lambda G(b_1)\big)\implies b_2>b_1$?

Intermediate Value Theorem and Fundamental Theorem of Calculus question

Generalization of characterization of projection onto a convex set

convex set in $R^n$ cannot have its barycenter at boundary?

Is there a convex function tending to $\infty$ and bounded above by $(\log x)^2$?

How is the subdifferential of the $l_2$ norm at $x=0$ the polar of the unit ball?

Show that $g(x)=\frac{1}{x}f \left( \frac{(1-x)A+xB}{ (1-x)C+xD} \right)$ is decreasing for small enough $x>0$.

Is relative boundary of the epigraph the same as relative interior of the domain of a convex function?

How to show $\partial f(x) =\{\nabla f(x) \}$ for a convex differentiable function?

Let $ \ A \ $ be a positive definite matrix . Prove that $ \ \frac{1}{2} \left\langle Ax-b \ , \ A^{-1}(Ax-b)\right\rangle \ $ is strictly convex

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