List questions from cauchy-schwarz-inequality

Published on 26 Mar 2026 - 8:14

39

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Proof of $ \|A\sum_{i=1}^{k-1}x_i\| \leq \|A^{1/2}\|\|\sum_{i=1}^{k-1}x_i\|_{A}$ with $A$ positive definite matrix and $x \in \mathbb{R}^d$

Published on 30 Jan 2020 - 21:41

162

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Trouble minimizing expressions with Cauchy-Schwarz inequality?

Published on 01 Feb 2020 - 9:06

203

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$P(X \geq t) \leq \frac{E(X^2)}{E(X^2) + t^2}$, where $E(X) = 0$ and $E(X^2)$ is finite.

Published on 03 Feb 2020 - 7:28

86

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value of expression having variables $p,q,r,x,y,z$

Published on 03 Feb 2020 - 9:03

175

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Cauchy-Schwarz Proof Question

Published on 03 Feb 2020 - 23:15

80

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Given that $2x^2-4xy+6y^2=9$, find the biggest and lowest value of $2x-y$

Published on 04 Feb 2020 - 8:17

32

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Help with proof closely in relation to the Cauchy Schwarz Inequality

Published on 09 Feb 2020 - 0:43

85

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An inequality about the sum of squares

Published on 10 Feb 2020 - 18:23

287

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How to prove $\frac a{\sqrt{a^2+3b^2+3c^2}}+\frac b{\sqrt{3a^2+b^2+3c^2}}+\frac{c}{\sqrt{3a^2+3b^2+c^2}}\le\frac3{\sqrt7}$ when $a,b,c>0$

Published on 25 Mar 2026 - 12:49

124

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Question: Using the Cauchy-Schwarz Inequality to compare between 2 expressions

Published on 27 Mar 2026 - 10:34

97

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$\frac{a}{a+2b+c}+\frac{b}{b+2c+a}+\frac{c}{c+2a+b}\geq\frac{3}{4}$

Published on 25 Mar 2026 - 12:21

99

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Show that $\sum_{i=1}^n |x_i - y_i] \le \sqrt{n}\sqrt{(\sum_{i=1}^n (x_i -y_i)^2)}$

Published on 19 Feb 2020 - 22:19

260

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Are inner products always dominated by the norm of tensor products?

Published on 21 Feb 2020 - 13:20

103

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Second moment method in probability

Published on 22 Feb 2020 - 14:25

List Question

Solving Inequality Relation:

Proof of $ \|A\sum_{i=1}^{k-1}x_i\| \leq \|A^{1/2}\|\|\sum_{i=1}^{k-1}x_i\|_{A}$ with $A$ positive definite matrix and $x \in \mathbb{R}^d$

Trouble minimizing expressions with Cauchy-Schwarz inequality?

$P(X \geq t) \leq \frac{E(X^2)}{E(X^2) + t^2}$, where $E(X) = 0$ and $E(X^2)$ is finite.

value of expression having variables $p,q,r,x,y,z$

Cauchy-Schwarz Proof Question

Given that $2x^2-4xy+6y^2=9$, find the biggest and lowest value of $2x-y$

Help with proof closely in relation to the Cauchy Schwarz Inequality

An inequality about the sum of squares

How to prove $\frac a{\sqrt{a^2+3b^2+3c^2}}+\frac b{\sqrt{3a^2+b^2+3c^2}}+\frac{c}{\sqrt{3a^2+3b^2+c^2}}\le\frac3{\sqrt7}$ when $a,b,c>0$

Question: Using the Cauchy-Schwarz Inequality to compare between 2 expressions

$\frac{a}{a+2b+c}+\frac{b}{b+2c+a}+\frac{c}{c+2a+b}\geq\frac{3}{4}$

Show that $\sum_{i=1}^n |x_i - y_i] \le \sqrt{n}\sqrt{(\sum_{i=1}^n (x_i -y_i)^2)}$

Are inner products always dominated by the norm of tensor products?

Second moment method in probability

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