List questions from inequality

723

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Proving $\mid \parallel x \parallel - \parallel y \parallel \mid$ $\leqq$ $\parallel x-y \parallel$?

Published on 30 Mar 2026 - 1:29

649

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Proving the information inequality using measure theory

Published on 26 Mar 2026 - 16:10

348

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find minimum value of $n$ that satisfies this inequality: $4(x_1^2+x_2^2+...+x_n^2)<2(x_1+x_2+...+x_n)<x_1^3+x_2^3+...+x_n^3$

Published on 25 Mar 2026 - 12:50

481

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An inequality with a prime number

Published on 27 Mar 2026 - 7:14

569

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Inequality $\sqrt{xy+yz+zx} \ge \frac {8}{15} (x+y+z)$

Published on 25 Mar 2026 - 12:50

1.4k

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A lower bound for $(1-e^x)^n$

Published on 26 Mar 2026 - 16:04

83

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Prove that $| xy-\sqrt{(1-x^2)(1-y^2)}|\leq1$ where $|x|\leq1$ and $|y|\leq1$

Published on 25 Mar 2026 - 17:42

124

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Bound on tail of beta distribution

Published on 05 Apr 2026 - 13:07

101

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A probability inequality applying Feller-Chung lemma

Published on 18 Aug 2018 - 3:10

134

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AIME: I'm not sure what the question is asking for

Published on 25 Mar 2026 - 17:38

60

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How to prove $x^4+y^4\leq (x^2+y^2)^2$?

Published on 18 Aug 2018 - 10:16

62

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Equality occurring at two different values for a three way inequality

Published on 27 Mar 2026 - 13:18

455

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Prove the inequality Using Mean Value theorem

Published on 19 Aug 2018 - 13:21

38

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Prove that if $\Re(z)>x$ then $|z|>|x|$

Published on 31 Mar 2026 - 22:38

134

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$L^2$ Bound for Random Variables

Published on 30 Mar 2026 - 12:20

List Question

Proving $\mid \parallel x \parallel - \parallel y \parallel \mid$ $\leqq$ $\parallel x-y \parallel$?

Proving the information inequality using measure theory

find minimum value of $n$ that satisfies this inequality: $4(x_1^2+x_2^2+...+x_n^2)<2(x_1+x_2+...+x_n)<x_1^3+x_2^3+...+x_n^3$

An inequality with a prime number

Inequality $\sqrt{xy+yz+zx} \ge \frac {8}{15} (x+y+z)$

A lower bound for $(1-e^x)^n$

Prove that $| xy-\sqrt{(1-x^2)(1-y^2)}|\leq1$ where $|x|\leq1$ and $|y|\leq1$

Bound on tail of beta distribution

A probability inequality applying Feller-Chung lemma

AIME: I'm not sure what the question is asking for

How to prove $x^4+y^4\leq (x^2+y^2)^2$?

Equality occurring at two different values for a three way inequality

Prove the inequality Using Mean Value theorem

Prove that if $\Re(z)>x$ then $|z|>|x|$

$L^2$ Bound for Random Variables

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