List questions from cauchy-schwarz-inequality | MathQa

About Cauchy–Schwarz inequality

Published on 12 Jan 2025 - 18:47

Proving an Integral Inequality using the Cauchy-Schwarz inequality

Published on 12 Jan 2025 - 22:09

Use the Cauchy-Schwarz Inequality to prove that $a^2+b^2+c^2 \ge ab+ac+bc $ for all positive $a,b,c$.

Published on 12 Jan 2025 - 22:19

inequality with three variables and condition

Published on 13 Jan 2025 - 0:56

Prove that $(a^2+2)(b^2+2)(c^2+2)\geq 3(a+b+c)^2$

Published on 12 Jan 2025 - 21:51

Prove that $ax+by+cz+2\sqrt{(xy+yz+xz)(ab+bc+ca)}\le{a+b+c}$

Published on 12 Jan 2025 - 21:59

Prove that $ \sum\limits_{cyc} \sqrt{\cot{A}+\cot{B}} \ge 2\sqrt2$

Published on 12 Jan 2025 - 21:59

Prove that if $(a^2+b^2+c^2+d^2)^2 > 3(a^4+b^4+c^4+d^4)$, then, using any three of them we can construct a triangle.

Published on 12 Jan 2025 - 22:20

Prove that $\frac{a}{b+2c+3d}+\frac{b}{c+2d+3a}+\frac{c}{d+2a+3b}+\frac{d}{a+2b+3c} \geq \frac{2}{3}.$

Published on 13 Jan 2025 - 1:13

How to prove $\sqrt{\frac{bc}{a+bc}}+\sqrt{\frac{ca}{b+ca}}+\sqrt{\frac{ab}{c+ab}}\geq 1$

Published on 12 Jan 2025 - 22:13