List questions from inequality

Published on 03 May 2018 - 10:25

40

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Show that there exist $ b \in (0, \infty)$ such that $\lim_{n \to \infty} exp(bn) \cdot P((1/n)\cdot \sum_{i=1}^n X_i >a)=0$

Published on 28 Mar 2026 - 17:41

66

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$\ln n+\sqrt{\frac12}+\sqrt{\frac23}+\ldots +\sqrt{\frac{n-1}{n}}<\sqrt2+\sqrt{\frac32}+\sqrt{\frac43}+\ldots +\sqrt{\frac{n}{n-1}}$

Published on 03 May 2018 - 12:14

186

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replacing Inequalities

Published on 31 Mar 2026 - 20:58

101

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Can the following argument be pushed to a full proof that $(p + 2)/p$ is an outlaw if $p$ is an odd prime?

Published on 25 Mar 2026 - 1:18

57

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Application of AM-GM Inequality

Published on 03 May 2018 - 15:03

53

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Which is larger without using examples of numbers?

Published on 03 May 2018 - 15:16

44

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Simpler proof that $3(a\cdot b)(a\cdot c)-(b\cdot c)\leq 2$ for unit vectors $a,b,c$

Published on 25 Mar 2026 - 21:01

36

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Is the $||u||L_{(U)}^p$ greater than the average of u over U?

Published on 03 May 2018 - 16:12

1.7k

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Showing $4x + 4b^2 x \leq 4 + (x + b^2 x)^2$

Published on 26 Mar 2026 - 4:51

207

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How to prove this trace matrix inequality？

Published on 03 May 2018 - 19:35

103

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Existence of an $\epsilon$

Published on 03 May 2018 - 19:42

77

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Computing a fourth moment $E[Z^4] $

Published on 03 May 2018 - 22:10

664

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What is the intuition behind this triangle inequality "trick"?

Published on 03 May 2018 - 22:41

168

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Prove that $\ln{x} \leq \frac{4x}{x+4}$

Published on 30 Mar 2026 - 23:18

List Question

Inequality $\frac{1}{x}>\frac{1}{y}$ when $y>0$ has the same solutions as..

Show that there exist $ b \in (0, \infty)$ such that $\lim_{n \to \infty} exp(bn) \cdot P((1/n)\cdot \sum_{i=1}^n X_i >a)=0$

$\ln n+\sqrt{\frac12}+\sqrt{\frac23}+\ldots +\sqrt{\frac{n-1}{n}}<\sqrt2+\sqrt{\frac32}+\sqrt{\frac43}+\ldots +\sqrt{\frac{n}{n-1}}$

replacing Inequalities

Can the following argument be pushed to a full proof that $(p + 2)/p$ is an outlaw if $p$ is an odd prime?

Application of AM-GM Inequality

Which is larger without using examples of numbers?

Simpler proof that $3(a\cdot b)(a\cdot c)-(b\cdot c)\leq 2$ for unit vectors $a,b,c$

Is the $||u||L_{(U)}^p$ greater than the average of u over U?

Showing $4x + 4b^2 x \leq 4 + (x + b^2 x)^2$

How to prove this trace matrix inequality？

Existence of an $\epsilon$

Computing a fourth moment $E[Z^4] $

What is the intuition behind this triangle inequality "trick"?

Prove that $\ln{x} \leq \frac{4x}{x+4}$

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