Question

Does local convexity imply global convexity around a minimum?

score 92 · Answer 1 · 2020-07-13 08:01:16

92

Views

Does local convexity imply global convexity around a minimum?

Published on 13 Jul 2020 - 8:01

score 142 · Answer 2 · 2020-07-20 08:02:13

142

Views

Does this bound hold beyond the domain where the function is convex?

Published on 20 Jul 2020 - 8:02

score 148 · Answer 3 · 2020-07-31 09:02:19

148

Views

Prove that $\Gamma(\operatorname{W}(x))$ is convex $\forall x>0$

Published on 31 Jul 2020 - 9:02

score 62 · Answer 4 · 2016-10-11 15:16:57

62

Views

Prove the inequality $\frac{1}{1+a+b}+\frac{1}{1+c+b}+\frac{1}{1+a+c}+a+b+c \le 3 + \frac 13 (ab+bc+ac)$

Published on 11 Oct 2016 - 15:16

score 339 · Answer 5 · 2016-10-12 05:30:40

339

Views

Find the minimum value of $\sqrt{x+y}+\sqrt{(1-x)+y}+\sqrt{x+(1-y)}+\sqrt{(1-x)+(1-y)}$

Published on 12 Oct 2016 - 5:30

score 981 · Answer 6 · 2016-11-26 06:32:05

981

Views

find the maximum $\frac{\frac{x^2_{1}}{x_{2}}+\frac{x^2_{2}}{x_{3}}+\cdots+\frac{x^2_{n-1}}{x_{n}}+\frac{x^2_{n}}{x_{1}}}{x_{1}+x_{2}+\cdots+x_{n}}$

Published on 26 Nov 2016 - 6:32

score 91 · Answer 7 · 2017-02-15 17:59:17

91

Views

How can I show that $\left|\sin \frac{s}{2}\right| \geq \frac{|s|}{\pi}, s \in [- \pi , \pi]$?

Published on 15 Feb 2017 - 17:59

score 373 · Answer 8 · 2017-02-27 09:01:34

373

Views

Inequality for positive real numbers less than $1$: $8(abcd+1)>(a+1)(b+1)(c+1)(d+1)$

Published on 27 Feb 2017 - 9:01

score 138 · Answer 9 · 2023-02-11 04:09:23

138

Views

Proving that $2\left(a+b\right)\ln{\left(\frac{a+b}{2}\right)}\geq\left(a+1\right)\ln{\left(a\right)}+\left(b+1\right)\ln{\left(b\right)}$

Published on 11 Feb 2023 - 4:09

score 168 · Answer 10 · 2023-03-01 09:25:36

168

Views

Does the $\log$-$\exp$ analogous of Minkowski integral inequality hold true?

Published on 01 Mar 2023 - 9:25

score 37 · Answer 11 · 2023-03-13 08:25:37

37

Views

Can we rewrite a nonlinear constraint as a multiplication of real and integer as convex?

Published on 13 Mar 2023 - 8:25

score 46 · Answer 12 · 2023-03-27 17:20:34

46

Views

A question on a derivation from Hajek's book.

Published on 27 Mar 2023 - 17:20

score 70 · Answer 13 · 2026-03-14 12:53:29

70

Views

Difference between majorization and weak majorization.

Published on 14 Mar 2026 - 12:53

score 74 · Answer 14 · 2023-06-23 10:25:58

74

Views

How to prove $\left(\frac{e^n-1}{n}\right)^{2n+1} \leq \frac{(e-1)(e^2-1)...(e^{2n}-1)}{(2n)!}$?

Published on 23 Jun 2023 - 10:25

score 106 · Answer 15 · 2026-03-25 07:43:53

106

Views

Prove by using convexity: $33\sin33^{\circ}+29\sin29^{\circ}+28\sin28^{\circ}>45$

Published on 25 Mar 2026 - 7:43

List Question

Does local convexity imply global convexity around a minimum?

Does this bound hold beyond the domain where the function is convex?

Prove that $\Gamma(\operatorname{W}(x))$ is convex $\forall x>0$

Prove the inequality $\frac{1}{1+a+b}+\frac{1}{1+c+b}+\frac{1}{1+a+c}+a+b+c \le 3 + \frac 13 (ab+bc+ac)$

Find the minimum value of $\sqrt{x+y}+\sqrt{(1-x)+y}+\sqrt{x+(1-y)}+\sqrt{(1-x)+(1-y)}$

find the maximum $\frac{\frac{x^2_{1}}{x_{2}}+\frac{x^2_{2}}{x_{3}}+\cdots+\frac{x^2_{n-1}}{x_{n}}+\frac{x^2_{n}}{x_{1}}}{x_{1}+x_{2}+\cdots+x_{n}}$

How can I show that $\left|\sin \frac{s}{2}\right| \geq \frac{|s|}{\pi}, s \in [- \pi , \pi]$?

Inequality for positive real numbers less than $1$: $8(abcd+1)>(a+1)(b+1)(c+1)(d+1)$

Proving that $2\left(a+b\right)\ln{\left(\frac{a+b}{2}\right)}\geq\left(a+1\right)\ln{\left(a\right)}+\left(b+1\right)\ln{\left(b\right)}$

Does the $\log$-$\exp$ analogous of Minkowski integral inequality hold true?

Can we rewrite a nonlinear constraint as a multiplication of real and integer as convex?

A question on a derivation from Hajek's book.

Difference between majorization and weak majorization.

How to prove $\left(\frac{e^n-1}{n}\right)^{2n+1} \leq \frac{(e-1)(e^2-1)...(e^{2n}-1)}{(2n)!}$?

Prove by using convexity: $33\sin33^{\circ}+29\sin29^{\circ}+28\sin28^{\circ}>45$

Trending Questions

Popular # Hahtags

Popular Questions