Question

Maximise $(a+b)^p+(a+c)^p+(b+c)^p$ subject to $a^{p'}+b^{p'}+c^{p'}=1$

score 58 · Answer 1 · 2026-03-24 22:08:44

58

Views

Maximise $(a+b)^p+(a+c)^p+(b+c)^p$ subject to $a^{p'}+b^{p'}+c^{p'}=1$

Published on 24 Mar 2026 - 22:08

score 32 · Answer 2 · 2018-04-06 04:16:13

32

Views

Simple question regarding the domain of an inequality

Published on 06 Apr 2018 - 4:16

score 48 · Answer 3 · 2018-04-06 07:06:27

48

Views

Need to show this inequality for an economic proof

Published on 06 Apr 2018 - 7:06

score 560 · Answer 4 · 2026-03-25 13:58:09

560

Views

Math Olympiad exercise $\frac{x}{\sqrt{3x+2y+z}}+\frac{y}{\sqrt{3y+2z+x}}+\frac{z}{\sqrt{3z+2x+y}}\leq\sqrt{\frac{x+y+z}{2}}$

Published on 25 Mar 2026 - 13:58

score 76 · Answer 5 · 2026-03-25 22:10:13

76

Views

Inequality on sum of two exponentials

Published on 25 Mar 2026 - 22:10

score 144 · Answer 6 · 2026-03-25 03:04:14

144

Views

$g$ is positive and continuous , $f$ is increasing and differentiable on $[0,1]$, $f(0)=1$. Prove that $g(x)\leq f(x), \forall x \in [0,1].$

Published on 25 Mar 2026 - 3:04

score 88 · Answer 7 · 2018-04-06 09:30:38

88

Views

flip or reverse inequality sign

Published on 06 Apr 2018 - 9:30

score 212 · Answer 8 · 2026-03-25 06:01:17

212

Views

Describe $x/(x+1) < 0$ with an interval

Published on 25 Mar 2026 - 6:01

score 348 · Answer 9 · 2018-04-06 12:15:09

348

Views

Show that $P(Y> 0)\ge E[Y]^2/{E}[Y^2]$

Published on 06 Apr 2018 - 12:15

score 64 · Answer 10 · 2018-04-06 14:05:49

64

Views

Show $f(x)>g(x)$ under conditions on first /second derivatives and the limit of $f-g$

Published on 06 Apr 2018 - 14:05

score 90 · Answer 11 · 2026-03-28 01:13:37

90

Views

An inequality involving a quasiconvex function with binomial and power terms

Published on 28 Mar 2026 - 1:13

score 103 · Answer 12 · 2026-03-24 22:06:23

103

Views

Linear spline over a polynomial

Published on 24 Mar 2026 - 22:06

score 198 · Answer 13 · 2018-04-06 21:04:32

198

Views

Prove inequality with MVT

Published on 06 Apr 2018 - 21:04

score 63 · Answer 14 · 2026-03-28 01:06:46

63

Views

Given a convex differentiable function $f: \mathbb{R} \to \mathbb{R}$,(dis) prove $f(x) \geq x$

Published on 28 Mar 2026 - 1:06

score 92 · Answer 15 · 2026-03-30 08:31:10

92

Views

A convergent sequence is bounded: Proof Verification

Published on 30 Mar 2026 - 8:31

List Question

Maximise $(a+b)^p+(a+c)^p+(b+c)^p$ subject to $a^{p'}+b^{p'}+c^{p'}=1$

Simple question regarding the domain of an inequality

Need to show this inequality for an economic proof

Math Olympiad exercise $\frac{x}{\sqrt{3x+2y+z}}+\frac{y}{\sqrt{3y+2z+x}}+\frac{z}{\sqrt{3z+2x+y}}\leq\sqrt{\frac{x+y+z}{2}}$

Inequality on sum of two exponentials

$g$ is positive and continuous , $f$ is increasing and differentiable on $[0,1]$, $f(0)=1$. Prove that $g(x)\leq f(x), \forall x \in [0,1].$

flip or reverse inequality sign

Describe $x/(x+1) < 0$ with an interval

Show that $P(Y> 0)\ge E[Y]^2/{E}[Y^2]$

Show $f(x)>g(x)$ under conditions on first /second derivatives and the limit of $f-g$

An inequality involving a quasiconvex function with binomial and power terms

Linear spline over a polynomial

Prove inequality with MVT

Given a convex differentiable function $f: \mathbb{R} \to \mathbb{R}$,(dis) prove $f(x) \geq x$

A convergent sequence is bounded: Proof Verification

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