Question

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

score 400 · Answer 1 · 2026-05-10 18:42:12

400

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

Published on 10 May 2026 - 18:42

score 477 · Answer 2 · 2026-04-14 10:15:34

477

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Schwarz inequality and bra-ket notation

Published on 14 Apr 2026 - 10:15

score 1.1k · Answer 3 · 2026-04-15 06:10:13

1.1k

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An inequality including L1 and L2 norms

Published on 15 Apr 2026 - 6:10

score 86 · Answer 4 · 2026-04-16 04:04:13

86

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

Published on 16 Apr 2026 - 4:04

score 1.3k · Answer 5 · 2026-04-14 18:18:39

1.3k

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Trace cauchy schwarz inequality

Published on 14 Apr 2026 - 18:18

score 133 · Answer 6 · 2026-05-03 10:16:45

133

Views

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

Published on 03 May 2026 - 10:16

score 99 · Answer 7 · 2026-05-10 23:15:38

99

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A geometric inequality for a triangle ABC

Published on 10 May 2026 - 23:15

score 196 · Answer 8 · 2026-04-16 01:52:11

196

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How can we apply here the Cauchy-Schwarz inequality?

Published on 16 Apr 2026 - 1:52

score 129 · Answer 9 · 2026-05-10 15:10:26

129

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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 10 May 2026 - 15:10

score 31 · Answer 10 · 2026-04-15 17:10:46

31

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C-S and dependences with the scalar product

Published on 15 Apr 2026 - 17:10

score 232 · Answer 11 · 2026-05-10 18:29:04

232

Views

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

Published on 10 May 2026 - 18:29

score 123 · Answer 12 · 2026-05-10 19:40:40

123

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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 10 May 2026 - 19:40

score 4.8k · Answer 13 · 2026-04-09 18:24:55

4.8k

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Understanding Proof of Cauchy-Schwarz Inequality

Published on 09 Apr 2026 - 18:24

score 92 · Answer 14 · 2026-05-10 18:30:33

92

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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 10 May 2026 - 18:30

score 919 · Answer 15 · 2026-04-14 20:49:38

919

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When does the Cauchy-Schwarz inequality hold

Published on 14 Apr 2026 - 20:49

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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