List questions from cauchy-schwarz-inequality

Published on 14 Jul 2014 - 12:49

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Proof of an inequality

Published on 25 Mar 2026 - 3:07

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Prove $a+b+c \geq ab+bc+ca$, given an additional constraint

Published on 27 Mar 2026 - 16:03

324

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let $a,b,c >0 $ and $abc=1$,prove that $\sqrt{1+8a^2}+ \sqrt{1+8b^2}+ \sqrt{1+8c^2}\leq 3(a+b+c )$

Published on 03 Aug 2014 - 16:00

737

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Prove $\frac{ab}{\sqrt{2c+a+b}}+\frac{bc}{\sqrt{2a+b+c}}+\frac{ca}{\sqrt{2b+c+a}}\le\sqrt\frac{2}{3}$ if $a+b+c=2$

Published on 27 Mar 2026 - 16:09

260

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Prove $\log_ab+\log_bc+\log_ca\geq1+\log_{ab}bc+\log_{bc}ab$

Published on 20 Oct 2014 - 11:07

92

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Prove that $2\sqrt{(a^2-ab+b^2)(x^2-xy+y^2)}\ge 2ax+2by-ay-bx$?

Published on 24 Oct 2014 - 16:06

272

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How to prove $\frac 1{2+a}+\frac 1{2+b}+\frac 1{2+c}\le 1$?

Published on 27 Mar 2026 - 16:39

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Can Cauchy Schwarz inequality be proven using Jensen's inequality?

Published on 25 Mar 2026 - 11:20

1.7k

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Inequality with five variables

Published on 27 Mar 2026 - 16:02

111

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Hermitian Matrix Inequality

Published on 25 Mar 2026 - 12:52

457

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Proof of Cauchy-Schwartz Inequality

Published on 05 Oct 2019 - 11:26

216

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I made an inequality to solve myself, but someone pointed out my solution is wrong.

Published on 27 Mar 2026 - 16:03

1.2k

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Equality in Cauchy-Schwarz

Published on 08 Oct 2019 - 3:26

104

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How to solve this inequality :

Published on 25 Mar 2026 - 11:21

List Question

Solve this with CBS: minimum value of $ 1/x + 4/y + 9/z $ with $x+y+z=1$

Proof of an inequality

Prove $a+b+c \geq ab+bc+ca$, given an additional constraint

let $a,b,c >0 $ and $abc=1$,prove that $\sqrt{1+8a^2}+ \sqrt{1+8b^2}+ \sqrt{1+8c^2}\leq 3(a+b+c )$

Prove $\frac{ab}{\sqrt{2c+a+b}}+\frac{bc}{\sqrt{2a+b+c}}+\frac{ca}{\sqrt{2b+c+a}}\le\sqrt\frac{2}{3}$ if $a+b+c=2$

Prove $\log_ab+\log_bc+\log_ca\geq1+\log_{ab}bc+\log_{bc}ab$

Prove that $2\sqrt{(a^2-ab+b^2)(x^2-xy+y^2)}\ge 2ax+2by-ay-bx$?

How to prove $\frac 1{2+a}+\frac 1{2+b}+\frac 1{2+c}\le 1$?

Can Cauchy Schwarz inequality be proven using Jensen's inequality?

Inequality with five variables

Hermitian Matrix Inequality

Proof of Cauchy-Schwartz Inequality

I made an inequality to solve myself, but someone pointed out my solution is wrong.

Equality in Cauchy-Schwarz

How to solve this inequality :

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