List questions from cauchy-schwarz-inequality

Published on 10 May 2026 - 14:35

487

Views

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

Published on 10 May 2026 - 15:56

268

Views

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 14 Apr 2026 - 20:15

175

Views

Some Cauchy-Schwarz Inequalities

Published on 10 May 2026 - 18:42

204

Views

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 13 May 2026 - 5:54

60

Views

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

Published on 16 Apr 2026 - 2:10

54

Views

$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 15 Apr 2026 - 23:16

200

Views

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

Published on 16 Apr 2026 - 17:03

85

Views

Inequalities Proof

Published on 14 Apr 2026 - 5:17

57

Views

Demonstration using Cauchy-Schwarz inequality

Published on 13 Apr 2026 - 4:40

69

Views

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 10 May 2026 - 14:36

45

Views

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

Published on 17 Apr 2026 - 11:58

54

Views

prove the following inequality using am gm hm or weirstrass etc

Published on 15 Apr 2026 - 2:48

79

Views

Triangle Inequality of Tensor Products

Published on 10 Apr 2026 - 20:45

218

Views

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

Published on 10 May 2026 - 13:50

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

Trending Questions

Popular # Hahtags

Popular Questions