List questions from cauchy-schwarz-inequality

Published on 25 Mar 2026 - 20:34

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A better way to prove this inequality

Published on 24 Mar 2026 - 16:38

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Inequality $\frac{a}{\sqrt{bc}}\cdot\frac1{a+1}+\frac{b}{\sqrt{ca}}\cdot\frac1{b+1}+\frac{c}{\sqrt{ab}}\cdot\frac1{c+1}\leqslant\sqrt2.$

Published on 25 Mar 2026 - 3:04

531

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Prove this inequality $\sum_{cyc}\sqrt[4]{\frac{a}{b+c}}\ge \sqrt[4]{16+\frac{196abc}{(a+b)(b+c)(c+a)}}$

Published on 25 Mar 2026 - 13:57

154

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Finding the best upper bound of $\int_a^b\frac{\sin^2x}x\,dx$ by hand

Published on 25 Mar 2026 - 15:43

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Cauchy-Schwartz inequality

Published on 05 Apr 2018 - 15:01

868

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Prove Cauchy-Schwarz inequality to prove a projection onto the subspace and assume v != 0

Published on 25 Mar 2026 - 21:54

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Interesting 3 Variable Inequality for Real Numbers

Published on 25 Mar 2026 - 14:20

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Proving Schwarz inequlity.

Published on 05 Apr 2018 - 21:15

560

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Math Olympiad exercise $\frac{x}{\sqrt{3x+2y+z}}+\frac{y}{\sqrt{3y+2z+x}}+\frac{z}{\sqrt{3z+2x+y}}\leq\sqrt{\frac{x+y+z}{2}}$

Published on 25 Mar 2026 - 13:58

239

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Symmetric inequality with three variables including radicals

Published on 25 Mar 2026 - 0:01

273

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step in proof: Cauchy-Scharz complex inequality

Published on 11 Apr 2018 - 12:37

64

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Help understanding a proof that uses Cauchy Schwarz

Published on 14 Apr 2018 - 3:29

607

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General Cauchy-Schwarz inequality proof using discriminant

Published on 25 Mar 2026 - 23:56

76

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Finding errors in a proof that $\langle x,a\rangle\to|a|^2$ as $x$ approaches $a$

Published on 19 Apr 2018 - 8:25

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General Cauchy-Schwarz for adjoint positive operators

A better way to prove this inequality

Inequality $\frac{a}{\sqrt{bc}}\cdot\frac1{a+1}+\frac{b}{\sqrt{ca}}\cdot\frac1{b+1}+\frac{c}{\sqrt{ab}}\cdot\frac1{c+1}\leqslant\sqrt2.$

Prove this inequality $\sum_{cyc}\sqrt[4]{\frac{a}{b+c}}\ge \sqrt[4]{16+\frac{196abc}{(a+b)(b+c)(c+a)}}$

Finding the best upper bound of $\int_a^b\frac{\sin^2x}x\,dx$ by hand

Cauchy-Schwartz inequality

Prove Cauchy-Schwarz inequality to prove a projection onto the subspace and assume v != 0

Interesting 3 Variable Inequality for Real Numbers

Proving Schwarz inequlity.

Math Olympiad exercise $\frac{x}{\sqrt{3x+2y+z}}+\frac{y}{\sqrt{3y+2z+x}}+\frac{z}{\sqrt{3z+2x+y}}\leq\sqrt{\frac{x+y+z}{2}}$

Symmetric inequality with three variables including radicals

step in proof: Cauchy-Scharz complex inequality

Help understanding a proof that uses Cauchy Schwarz

General Cauchy-Schwarz inequality proof using discriminant

Finding errors in a proof that $\langle x,a\rangle\to|a|^2$ as $x$ approaches $a$

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