List questions from cauchy-schwarz-inequality

Published on 20 Dec 2018 - 15:54

88

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How can we show that $\left|a+b+c\right|^p-2\left|a\right|^p\le C\left(\left|b\right|^p+\left|c\right|^p\right)$?

Published on 25 Mar 2026 - 4:58

84

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How to prove the following by Cauchy-Schwarz?

Published on 22 Dec 2018 - 16:46

185

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$L^2$-proof of Change of measure of conditional expectation

Published on 27 Mar 2026 - 4:38

119

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Prove $x_1^2 + x_2^3 + ... + x_{n - 1}^n + \frac{1}{x_1^2 x_2^3 ... x_{n - 1}^n} \geq n + (x_1 - 1)^2 + 2(x_2 - 1)^2 + ... + (n - 1)(x_{n - 1} - 1)^2$

Published on 26 Mar 2026 - 9:50

62

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A Cauchy-Schwarz-type inequality for $\int\prod_n|f_n|$

Published on 25 Mar 2026 - 5:01

619

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Proving a Cauchy-Schwarz-like inequality

Published on 26 Mar 2026 - 6:10

46

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How to show $\|x-y\|_2^2 \leq \|x\|_2^2+2|x^Ty|$?

Published on 26 Mar 2026 - 20:40

75

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How to show for any orthogonal vector set and any matrix $\sum_u \|Au\|_2^2 \leq \|A\|_F^2$?

Published on 03 Jan 2019 - 15:39

328

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Prove $ \frac{a^2}{b + c} + \frac{b^2}{c + a} + \frac{c^2}{a + b} + \frac{36}{a + b + c} \geq 20 $

Published on 25 Mar 2026 - 4:42

92

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Interchanging limit and integral.

Published on 25 Mar 2026 - 4:53

73

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Maximizing $f$ in $\mathbb{R}^3$

Published on 08 Jan 2019 - 0:30

1k

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Does the matrix norm inequality or the Cauchy-Schwarz inequality hold for L2,1 norms

Published on 09 Jan 2019 - 12:14

88

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Inequality in 3 variables with a constraint condition

Published on 09 Jan 2019 - 16:31

80

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Prove the inequality $\sum_{cyc} {{a+abc} \over {1+ab+abcd}} \ge {{10} \over {3}}$ with Cauchy-Schwarz

Published on 26 Mar 2026 - 4:14

List Question

Maximize product of a vector with two vectors

How can we show that $\left|a+b+c\right|^p-2\left|a\right|^p\le C\left(\left|b\right|^p+\left|c\right|^p\right)$?

How to prove the following by Cauchy-Schwarz?

$L^2$-proof of Change of measure of conditional expectation

Prove $x_1^2 + x_2^3 + ... + x_{n - 1}^n + \frac{1}{x_1^2 x_2^3 ... x_{n - 1}^n} \geq n + (x_1 - 1)^2 + 2(x_2 - 1)^2 + ... + (n - 1)(x_{n - 1} - 1)^2$

A Cauchy-Schwarz-type inequality for $\int\prod_n|f_n|$

Proving a Cauchy-Schwarz-like inequality

How to show $\|x-y\|_2^2 \leq \|x\|_2^2+2|x^Ty|$?

How to show for any orthogonal vector set and any matrix $\sum_u \|Au\|_2^2 \leq \|A\|_F^2$?

Prove $ \frac{a^2}{b + c} + \frac{b^2}{c + a} + \frac{c^2}{a + b} + \frac{36}{a + b + c} \geq 20 $

Interchanging limit and integral.

Maximizing $f$ in $\mathbb{R}^3$

Does the matrix norm inequality or the Cauchy-Schwarz inequality hold for L2,1 norms

Inequality in 3 variables with a constraint condition

Prove the inequality $\sum_{cyc} {{a+abc} \over {1+ab+abcd}} \ge {{10} \over {3}}$ with Cauchy-Schwarz

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