Question

Rearrangement inequality and minimal value of $\frac{\sin^3x}{\cos x} +\frac{\cos^3x}{\sin x}$

score 394 · Answer 1 · 2026-03-22 21:23:42

394

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Rearrangement inequality and minimal value of $\frac{\sin^3x}{\cos x} +\frac{\cos^3x}{\sin x}$

Published on 22 Mar 2026 - 21:23

score 474 · Answer 2 · 2018-05-31 14:55:30

474

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Schwarz inequality and bra-ket notation

Published on 31 May 2018 - 14:55

score 1.1k · Answer 3 · 2018-06-08 13:47:14

1.1k

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An inequality including L1 and L2 norms

Published on 08 Jun 2018 - 13:47

score 83 · Answer 4 · 2018-06-11 10:09:06

83

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why there is the factor $n$ in the RHS of the Cauchy-Schwartz inequality for matrices?

Published on 11 Jun 2018 - 10:09

score 1.3k · Answer 5 · 2026-03-26 01:02:38

1.3k

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Trace cauchy schwarz inequality

Published on 26 Mar 2026 - 1:02

score 126 · Answer 6 · 2026-03-23 04:12:39

126

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$\frac{a^2} {1+a^2} + \frac{b^2} {1+b^2} + \frac{c^2} {1+c^2} = 2.$ Prove $\frac{a} {1+a^2} + \frac{b} {1+b^2} + \frac{c} {1+c^2} \leq \sqrt{2}.$

Published on 23 Mar 2026 - 4:12

score 96 · Answer 7 · 2026-03-25 16:06:28

96

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A geometric inequality for a triangle ABC

Published on 25 Mar 2026 - 16:06

score 194 · Answer 8 · 2026-03-26 17:47:43

194

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How can we apply here the Cauchy-Schwarz inequality?

Published on 26 Mar 2026 - 17:47

score 126 · Answer 9 · 2026-03-25 04:43:53

126

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For any $n \in \mathbb{N}$, show that: $\frac{1}{n+1} + \frac{1}{n+2} + \ldots + \frac{1}{2n} < \frac{5}{6}$.

Published on 25 Mar 2026 - 4:43

score 28 · Answer 10 · 2018-06-25 21:21:48

28

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C-S and dependences with the scalar product

Published on 25 Jun 2018 - 21:21

score 229 · Answer 11 · 2026-03-25 23:39:18

229

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Prove that if $x^3 + y^3 \geq a^3$ then $x^2 + y^2 > a^2$

Published on 25 Mar 2026 - 23:39

score 120 · Answer 12 · 2026-03-25 12:49:52

120

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Proving $\Big(a+\frac{1}{b}\Big)^2 + \Big(b+\frac{1}{c}\Big)^2 + \Big(c+\frac{1}{a}\Big)^2 \geq 3(a+b+c+1)$

Published on 25 Mar 2026 - 12:49

score 4.8k · Answer 13 · 2018-07-02 10:59:44

4.8k

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Understanding Proof of Cauchy-Schwarz Inequality

Published on 02 Jul 2018 - 10:59

score 89 · Answer 14 · 2026-03-26 01:12:39

89

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Showing that $x+y+z \le 2\left(\frac {x^2}{y+z}+ \frac {y^2}{x+z}+ \frac {z^2}{x+y}\right)$ for positive $x, y, z$?

Published on 26 Mar 2026 - 1:12

score 917 · Answer 15 · 2018-07-10 14:22:10

917

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When does the Cauchy-Schwarz inequality hold

Published on 10 Jul 2018 - 14:22

List Question

Rearrangement inequality and minimal value of $\frac{\sin^3x}{\cos x} +\frac{\cos^3x}{\sin x}$

Schwarz inequality and bra-ket notation

An inequality including L1 and L2 norms

why there is the factor $n$ in the RHS of the Cauchy-Schwartz inequality for matrices?

Trace cauchy schwarz inequality

$\frac{a^2} {1+a^2} + \frac{b^2} {1+b^2} + \frac{c^2} {1+c^2} = 2.$ Prove $\frac{a} {1+a^2} + \frac{b} {1+b^2} + \frac{c} {1+c^2} \leq \sqrt{2}.$

A geometric inequality for a triangle ABC

How can we apply here the Cauchy-Schwarz inequality?

For any $n \in \mathbb{N}$, show that: $\frac{1}{n+1} + \frac{1}{n+2} + \ldots + \frac{1}{2n} < \frac{5}{6}$.

C-S and dependences with the scalar product

Prove that if $x^3 + y^3 \geq a^3$ then $x^2 + y^2 > a^2$

Proving $\Big(a+\frac{1}{b}\Big)^2 + \Big(b+\frac{1}{c}\Big)^2 + \Big(c+\frac{1}{a}\Big)^2 \geq 3(a+b+c+1)$

Understanding Proof of Cauchy-Schwarz Inequality

Showing that $x+y+z \le 2\left(\frac {x^2}{y+z}+ \frac {y^2}{x+z}+ \frac {z^2}{x+y}\right)$ for positive $x, y, z$?

When does the Cauchy-Schwarz inequality hold

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