List questions from cauchy-schwarz-inequality

Published on 11 May 2026 - 21:28

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Why the following inequality holds?

Published on 11 May 2026 - 2:45

145

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Minimise $\tan^2 A + \tan^2 B + \tan^2 C$ given a relation

Published on 11 May 2026 - 1:48

844

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Lower Bound of Inner Product if norms are bounded

Published on 11 May 2026 - 3:10

145

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Find minimum value of $\sum \frac {\sqrt a}{\sqrt b +\sqrt c-\sqrt a}$

Published on 11 May 2026 - 16:48

28

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inequality for a family of vectors

Published on 09 Apr 2026 - 18:18

86

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Simplifying Inequality

Published on 10 May 2026 - 15:21

144

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Let $a,b,c$ be positive reals. Find the minimum value of $P=\frac{a^2}{(a+b)^2}+\frac{b^2}{(b+c)^2}+\frac{c}{4a}$.

Published on 11 May 2026 - 1:13

83

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Elementary algebra: inequalities

Published on 15 Apr 2026 - 0:14

887

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Prove inequality $\sum_{k=1}^{n}\frac{a_kb_k}{a_k+b_k}\le \frac{AB}{A+B}$

Published on 11 May 2026 - 7:24

276

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Symmetric Olympiad inequality

Published on 11 May 2026 - 1:13

161

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Is there a direct proof of the inequality $cyclic \sum\frac {a^2+1}{b+c}\ge 3$

Published on 10 May 2026 - 15:02

463

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Inequality proof using Cauchy-Schwarz and Jensen's inequality

Published on 10 May 2026 - 12:15

156

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Prove the inequality $ax+by+cz+\sqrt{\left(a^2+b^2+c^2\right)\left(x^2+y^2+z^2\right)}\ge\frac23(a+b+c)(x+y+z)$

Published on 15 Apr 2026 - 18:11

1.3k

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Verfication of deduction made using the Cauchy-Schwarz inequality

Published on 14 Apr 2026 - 9:33

List Question

Schwartz inequality for $|\int_{0}^\infty \frac{x^{3/2}}{1+ix}e^{-x} dx|$

Why the following inequality holds?

Minimise $\tan^2 A + \tan^2 B + \tan^2 C$ given a relation

Lower Bound of Inner Product if norms are bounded

Find minimum value of $\sum \frac {\sqrt a}{\sqrt b +\sqrt c-\sqrt a}$

inequality for a family of vectors

Simplifying Inequality

Let $a,b,c$ be positive reals. Find the minimum value of $P=\frac{a^2}{(a+b)^2}+\frac{b^2}{(b+c)^2}+\frac{c}{4a}$.

Elementary algebra: inequalities

Prove inequality $\sum_{k=1}^{n}\frac{a_kb_k}{a_k+b_k}\le \frac{AB}{A+B}$

Symmetric Olympiad inequality

Is there a direct proof of the inequality $cyclic \sum\frac {a^2+1}{b+c}\ge 3$

Inequality proof using Cauchy-Schwarz and Jensen's inequality

Prove the inequality $ax+by+cz+\sqrt{\left(a^2+b^2+c^2\right)\left(x^2+y^2+z^2\right)}\ge\frac23(a+b+c)(x+y+z)$

Verfication of deduction made using the Cauchy-Schwarz inequality

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