Question

$f(x,y)$ satisfying sufficient condition for quasi-concavity for adjacent regions, but not the union of the regions?

score 12 · Answer 1 · 2026-04-04 14:52:19

12

Views

$f(x,y)$ satisfying sufficient condition for quasi-concavity for adjacent regions, but not the union of the regions?

Published on 04 Apr 2026 - 14:52

score 30 · Answer 2 · 2020-02-08 02:29:27

30

Views

$\log$ concavity of $f(x)*g(x)$ when $\log[f(x)]$ is concave over $(a,b)$ and $(c,d)$ and $g(x)$ is log-concave over $(a,d)$

Published on 08 Feb 2020 - 2:29

score 156 · Answer 3 · 2026-03-25 15:52:42

156

Views

If $f''\ge 0$, prove that $f(x+f'(x)) \ge f(x)$

Published on 25 Mar 2026 - 15:52

score 408 · Answer 4 · 2026-04-11 17:05:42

408

Views

Conditions that ensure a convex function is log-concave?

Published on 11 Apr 2026 - 17:05

score 225 · Answer 5 · 2020-02-08 22:28:47

225

Views

Interior and closed cover properties of the convex normed subsets

Published on 08 Feb 2020 - 22:28

score 87 · Answer 6 · 2020-02-10 21:53:36

87

Views

Convexity with setting $ \lambda=\frac{1}{2}$ implies continuity?

Published on 10 Feb 2020 - 21:53

score 436 · Answer 7 · 2026-04-12 16:01:09

436

Views

Prove that sum of multiple variable convex function is also convex

Published on 12 Apr 2026 - 16:01

score 443 · Answer 8 · 2020-02-11 08:55:49

443

Views

Convex combination of probability measures?

Published on 11 Feb 2020 - 8:55

score 154 · Answer 9 · 2026-03-27 00:03:49

154

Views

When the singular values of a convex sum are preserved?

Published on 27 Mar 2026 - 0:03

score 687 · Answer 10 · 2020-02-12 03:28:35

687

Views

Continuous image of convex sets

Published on 12 Feb 2020 - 3:28

score 44 · Answer 11 · 2026-04-11 23:02:04

44

Views

Convex function on a set is still convex on its closure?

Published on 11 Apr 2026 - 23:02

score 88 · Answer 12 · 2020-02-12 14:49:19

88

Views

Find convex $f$: $\limsup_{n \to \infty} \frac{1}{n} \left| \frac{d^{n+1}}{ dx^{n+1}} e^{f} /\frac{d^{n}}{ dx^n} e^{f} \right|=\infty $

Published on 12 Feb 2020 - 14:49

score 42 · Answer 13 · 2026-04-12 11:08:15

Show that $\lim_{x\rightarrow\infty} f(x) = \infty$ if $f$ is a convex function such that $ \lim_{x\rightarrow -\infty}f(x) = −\infty$

score 86 · Answer 14 · 2026-03-25 19:16:16

86

Views

$A$ relatively weakly compact then $\overline{\text{aco}} (A)$ is relatively weakly compact.

Published on 25 Mar 2026 - 19:16

score 83 · Answer 15 · 2026-04-11 21:50:45

83

Views

Show that $I$ attains its minimum on $B$.

Published on 11 Apr 2026 - 21:50

List Question

$f(x,y)$ satisfying sufficient condition for quasi-concavity for adjacent regions, but not the union of the regions?

$\log$ concavity of $f(x)*g(x)$ when $\log[f(x)]$ is concave over $(a,b)$ and $(c,d)$ and $g(x)$ is log-concave over $(a,d)$

If $f''\ge 0$, prove that $f(x+f'(x)) \ge f(x)$

Conditions that ensure a convex function is log-concave?

Interior and closed cover properties of the convex normed subsets

Convexity with setting $ \lambda=\frac{1}{2}$ implies continuity?

Prove that sum of multiple variable convex function is also convex

Convex combination of probability measures?

When the singular values of a convex sum are preserved?

Continuous image of convex sets

Convex function on a set is still convex on its closure?

Find convex $f$: $\limsup_{n \to \infty} \frac{1}{n} \left| \frac{d^{n+1}}{ dx^{n+1}} e^{f} /\frac{d^{n}}{ dx^n} e^{f} \right|=\infty $

Show that $\lim_{x\rightarrow\infty} f(x) = \infty$ if $f$ is a convex function such that $ \lim_{x\rightarrow -\infty}f(x) = −\infty$

$A$ relatively weakly compact then $\overline{\text{aco}} (A)$ is relatively weakly compact.

Show that $I$ attains its minimum on $B$.

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