List questions from cauchy-schwarz-inequality

Published on 25 Mar 2026 - 12:52

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Does proving Cauchy-Schwarz for positive integers imply a proof for rational numbers?

Published on 19 Apr 2020 - 16:19

124

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Help proving $\sum_{i=1}^n a_ib_i\leq \left(\sum_{i=1}^n a_i^2\cdot\sum_{i=1}^n b_i^2\right)^{1/2}$

Published on 20 Apr 2020 - 1:18

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Show that $\int_0^1|x-\mu|f(x)dx\le \frac{1}{2}, \text { where } \mu=\int_0^1xf(x)dx.$

Published on 26 Mar 2026 - 21:14

209

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confusion in proof of the triangle inequality from linear algebra text

Published on 22 Apr 2020 - 18:44

35

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How to find maximal value for function x ∈ L2 ([0, T ])?

Published on 23 Apr 2020 - 3:05

158

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Proving the continuous Cauchy-Schwarz inequality

Published on 23 Apr 2020 - 15:33

380

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Use the quadratic formula to derive the Cauchy-Schwarz Inequality.

Published on 24 Apr 2020 - 23:37

40

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prove $\sum^n_{i=1} x_i^{-p} \ge n (\bar x)^{-p} $

Published on 25 Apr 2020 - 9:57

81

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Prove the Cauchy Schwartz Inequality for Inner product spaces using Contradiction

Published on 25 Apr 2020 - 17:57

307

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Convergence of expectations to $\mu$ plus convergence of variance to zero implies convergence in probability to $\mu$?

Published on 27 Apr 2020 - 8:30

222

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Integral inequality with Cauchy-Schwarz-inequality

Published on 27 Apr 2020 - 15:54

47

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$\min_v {\frac{u^Tv}{\|u\|_2\|v\|_2}}$ subject to $v_i\geq 0,\forall i$ with fixed vector $u\in R^n_+$?

Published on 26 Mar 2026 - 22:18

57

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Cauchy-Schwarz inequality problem with four variables

Published on 30 Apr 2020 - 23:54

140

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If $a+b+c=3$ Prove that $a^{2}+b^{2}+c^{2}\geq\frac{2+a}{2+b}+\frac{2+b}{2+c}+\frac{2+c}{2+a}$

Published on 25 Mar 2026 - 13:56

List Question

Inequality with 4 variables

Does proving Cauchy-Schwarz for positive integers imply a proof for rational numbers?

Help proving $\sum_{i=1}^n a_ib_i\leq \left(\sum_{i=1}^n a_i^2\cdot\sum_{i=1}^n b_i^2\right)^{1/2}$

Show that $\int_0^1|x-\mu|f(x)dx\le \frac{1}{2}, \text { where } \mu=\int_0^1xf(x)dx.$

confusion in proof of the triangle inequality from linear algebra text

How to find maximal value for function x ∈ L2 ([0, T ])?

Proving the continuous Cauchy-Schwarz inequality

Use the quadratic formula to derive the Cauchy-Schwarz Inequality.

prove $\sum^n_{i=1} x_i^{-p} \ge n (\bar x)^{-p} $

Prove the Cauchy Schwartz Inequality for Inner product spaces using Contradiction

Convergence of expectations to $\mu$ plus convergence of variance to zero implies convergence in probability to $\mu$?

Integral inequality with Cauchy-Schwarz-inequality

$\min_v {\frac{u^Tv}{\|u\|_2\|v\|_2}}$ subject to $v_i\geq 0,\forall i$ with fixed vector $u\in R^n_+$?

Cauchy-Schwarz inequality problem with four variables

If $a+b+c=3$ Prove that $a^{2}+b^{2}+c^{2}\geq\frac{2+a}{2+b}+\frac{2+b}{2+c}+\frac{2+c}{2+a}$

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