Question

Help with Cauchy-Schwarz Inequality (when it is an equality) (from Apostol's Calculus)

score 374 · Answer 1 · 2018-09-27 02:03:04

374

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Help with Cauchy-Schwarz Inequality (when it is an equality) (from Apostol's Calculus)

Published on 27 Sep 2018 - 2:03

score 436 · Answer 2 · 2018-09-27 22:34:17

436

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Normed spaces where $x, y \neq 0$, $\Vert x + y \Vert = \Vert x \Vert + \Vert y \Vert $ and $\forall c > 0, \ x \neq cy$

Published on 27 Sep 2018 - 22:34

score 140 · Answer 3 · 2026-03-25 16:03:49

140

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If $a^2+b^2 \gt a+b$ and $a,b \gt 0$ Prove that $a^3+b^3 \gt a^2+b^2$

Published on 25 Mar 2026 - 16:03

score 188 · Answer 4 · 2018-09-29 20:12:56

188

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Different version of Cauchy-Schwarz Inequality?

Published on 29 Sep 2018 - 20:12

score 367 · Answer 5 · 2018-09-29 23:07:44

367

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Proving the Schwarz Inequality

Published on 29 Sep 2018 - 23:07

score 41 · Answer 6 · 2018-09-30 10:13:49

41

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Finding the minimum of $E = \frac{1}{N}\sum_{i=1}^m \delta_i^2 t_i^{-1}$ using the Cauchy-Schwarz inequality?

Published on 30 Sep 2018 - 10:13

score 325 · Answer 7 · 2018-10-04 17:29:28

325

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Inequality problem: $(a_1+a_2+\dots+a_n)^2 \le n^2 (a_1^2+a_2^2+\dots+a_n^2)$

Published on 04 Oct 2018 - 17:29

score 93 · Answer 8 · 2026-03-25 04:40:28

93

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How to prove the given inequality using CS or AM GM HM inequality

Published on 25 Mar 2026 - 4:40

score 2.4k · Answer 9 · 2018-10-06 03:12:56

2.4k

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Prove $\frac{a^2}{3^3}+\frac{b^2}{4^3}+\frac{c^2}{5^3} \ge \frac{(a+b+c)^2}{6^3}$

Published on 06 Oct 2018 - 3:12

score 84 · Answer 10 · 2026-03-25 07:43:47

84

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Prove $\sum \frac{a}{a+b^4+c^4} \le 1$

Published on 25 Mar 2026 - 7:43

score 92 · Answer 11 · 2026-03-25 20:53:28

92

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Proof of inequality $|x \sin \alpha + y \cos \alpha| \leq \sqrt{x^2 + y^2}$

Published on 25 Mar 2026 - 20:53

score 74 · Answer 12 · 2018-10-09 01:53:09

74

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$AM$- $QM$ inequality

Published on 09 Oct 2018 - 1:53

score 213 · Answer 13 · 2026-03-25 04:43:29

213

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Show that $\frac {1}{3+x^2+y^2} + \frac {1}{3+y^2+z^2} +\frac{1} {3+x^2+z^2}\leq \frac {3}{5} . $

Published on 25 Mar 2026 - 4:43

score 1.5k · Answer 14 · 2026-03-26 19:20:56

1.5k

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Prove $\ 1<\frac{1}{n+1}+\frac{1}{n+2}+ ... + \frac{1}{3n+1}<2 $ using Cauchy-Schwarz

Published on 26 Mar 2026 - 19:20

score 154 · Answer 15 · 2026-03-26 16:07:12

154

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Inequality with choose function: $1\sqrt{\binom n1} + 2\sqrt{\binom n2}+3\sqrt{\binom n3}+\cdots+n\sqrt{\binom nn} < \sqrt{{2^{n-1}}{n^3}}$

Published on 26 Mar 2026 - 16:07

List Question

Help with Cauchy-Schwarz Inequality (when it is an equality) (from Apostol's Calculus)

Normed spaces where $x, y \neq 0$, $\Vert x + y \Vert = \Vert x \Vert + \Vert y \Vert $ and $\forall c > 0, \ x \neq cy$

If $a^2+b^2 \gt a+b$ and $a,b \gt 0$ Prove that $a^3+b^3 \gt a^2+b^2$

Different version of Cauchy-Schwarz Inequality?

Proving the Schwarz Inequality

Finding the minimum of $E = \frac{1}{N}\sum_{i=1}^m \delta_i^2 t_i^{-1}$ using the Cauchy-Schwarz inequality?

Inequality problem: $(a_1+a_2+\dots+a_n)^2 \le n^2 (a_1^2+a_2^2+\dots+a_n^2)$

How to prove the given inequality using CS or AM GM HM inequality

Prove $\frac{a^2}{3^3}+\frac{b^2}{4^3}+\frac{c^2}{5^3} \ge \frac{(a+b+c)^2}{6^3}$

Prove $\sum \frac{a}{a+b^4+c^4} \le 1$

Proof of inequality $|x \sin \alpha + y \cos \alpha| \leq \sqrt{x^2 + y^2}$

$AM$- $QM$ inequality

Show that $\frac {1}{3+x^2+y^2} + \frac {1}{3+y^2+z^2} +\frac{1} {3+x^2+z^2}\leq \frac {3}{5} . $

Prove $\ 1<\frac{1}{n+1}+\frac{1}{n+2}+ ... + \frac{1}{3n+1}<2 $ using Cauchy-Schwarz

Inequality with choose function: $1\sqrt{\binom n1} + 2\sqrt{\binom n2}+3\sqrt{\binom n3}+\cdots+n\sqrt{\binom nn} < \sqrt{{2^{n-1}}{n^3}}$

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