List questions from cauchy-schwarz-inequality

Published on 25 Mar 2026 - 11:06

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A direct result from the definition of operator norm: $\|Av\|\leq \|A\|_{op} \|v\|$

Published on 24 Mar 2026 - 23:46

265

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Prove $\frac{a}{b+c}+\frac{b}{c+d}+\frac{c}{d+a}+\frac{d}{a+b}\ge2$ where a, b, c and d are positive real numbers

Published on 06 Mar 2019 - 14:33

172

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Some Cauchy-Schwarz Inequalities

Published on 25 Mar 2026 - 6:26

200

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Find $k=constant$ such that $f(a,\,b,\,c\,)=\frac{3a+2b}{\sqrt{5a^2-ab+b^2}}+\frac{3b+2c}{\sqrt{5b^2-bc+c^2}}\leqq f(a,k\,a+\sqrt[3]{abc}-k\,c,c\,)$

Published on 25 Mar 2026 - 13:57

57

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$x,y\in\Bbb R,$ find the maxima of $\frac{x+2y+3}{\sqrt{x^2+y^2+1}}$

Published on 10 Mar 2019 - 10:19

51

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$a,b,c\in\Bbb R^+, x,y,z\in \Bbb R, $ show that $\frac{x^2}{a}+\frac{y^2}{b}+\frac{z^2}{c} \ge \frac{(x+y+z)^2}{a+b+c}$

Published on 10 Mar 2019 - 12:12

197

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minimum value of $2\cos \alpha\sin \beta+3\sin \alpha\sin \beta+4\cos \beta$

Published on 11 Mar 2019 - 10:58

82

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Inequalities Proof

Published on 12 Mar 2019 - 11:24

54

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Demonstration using Cauchy-Schwarz inequality

Published on 12 Mar 2019 - 23:33

68

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Prove, that for every real numbers $ x \ge y \ge z > 0 $, and $x+y+z=\frac{9}{2}, xyz=1$, the following inequality takes place

Published on 25 Mar 2026 - 6:30

43

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prove the inequality using inequalities like AM GM HM OR CAUCHY or WEIRSTRASS ETC.

Published on 26 Mar 2026 - 17:53

53

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prove the following inequality using am gm hm or weirstrass etc

Published on 26 Mar 2026 - 21:27

77

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Triangle Inequality of Tensor Products

Published on 27 Mar 2026 - 1:44

217

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Prove $\sum \sqrt{\frac{a^2}{6a^2+5ab+b^2}}\le \frac{\sqrt{3}}{2}$

Published on 24 Mar 2026 - 23:46

List Question

Find minimum of sum of product of sequences

A direct result from the definition of operator norm: $\|Av\|\leq \|A\|_{op} \|v\|$

Prove $\frac{a}{b+c}+\frac{b}{c+d}+\frac{c}{d+a}+\frac{d}{a+b}\ge2$ where a, b, c and d are positive real numbers

Some Cauchy-Schwarz Inequalities

Find $k=constant$ such that $f(a,\,b,\,c\,)=\frac{3a+2b}{\sqrt{5a^2-ab+b^2}}+\frac{3b+2c}{\sqrt{5b^2-bc+c^2}}\leqq f(a,k\,a+\sqrt[3]{abc}-k\,c,c\,)$

$x,y\in\Bbb R,$ find the maxima of $\frac{x+2y+3}{\sqrt{x^2+y^2+1}}$

$a,b,c\in\Bbb R^+, x,y,z\in \Bbb R, $ show that $\frac{x^2}{a}+\frac{y^2}{b}+\frac{z^2}{c} \ge \frac{(x+y+z)^2}{a+b+c}$

minimum value of $2\cos \alpha\sin \beta+3\sin \alpha\sin \beta+4\cos \beta$

Inequalities Proof

Demonstration using Cauchy-Schwarz inequality

Prove, that for every real numbers $ x \ge y \ge z > 0 $, and $x+y+z=\frac{9}{2}, xyz=1$, the following inequality takes place

prove the inequality using inequalities like AM GM HM OR CAUCHY or WEIRSTRASS ETC.

prove the following inequality using am gm hm or weirstrass etc

Triangle Inequality of Tensor Products

Prove $\sum \sqrt{\frac{a^2}{6a^2+5ab+b^2}}\le \frac{\sqrt{3}}{2}$

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