List questions from cauchy-schwarz-inequality

Published on 27 Mar 2026 - 17:35

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If $a^2 - b^2 < c^2 - d^2$ with these conditions (see body), necessarily imply that $a - b < c - d$?

Published on 10 Oct 2019 - 19:33

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How is the Cauchy-Schwarz inequality applied here?

Published on 12 Oct 2019 - 9:46

314

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Typical Olympiad Inequality? If $\sum_i^na_i=n$ with $a_i>0$, then $\sum_{i=1}^n\left(\frac{a_i^3+1}{a_i^2+1}\right)^4\geq n$

Published on 12 Oct 2019 - 16:21

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Notation for dot product and scalar multiplication in a geometric interpretation of the Cauchy-Schwarz inequality

Published on 15 Oct 2019 - 9:54

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How to finish this proof using Cauchy-Schwarz inequality?

Published on 16 Oct 2019 - 13:42

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what is the appropriate inner product

Published on 18 Oct 2019 - 9:45

119

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Prove inequalities $\frac {36}{25} \le A(a) < 2$

Published on 27 Mar 2026 - 17:37

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Proof using Cauchy-Schwarz inequality

Published on 22 Oct 2019 - 0:28

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Generalization of the AM-GM inequality for three variables

Published on 25 Mar 2026 - 9:42

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Trivialize triangle inequality with linear algebra?

Published on 25 Mar 2026 - 17:14

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Let $x>1,y>1$ and $\left(\log_e x \right)^2+\left(\log_e y \right)^2=\log(x^2)+log(y^2)$, then find the maximum value of $x^{\log_e y}$

Published on 27 Oct 2019 - 1:43

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Proving an inequality using AM-GM

Published on 27 Mar 2026 - 19:08

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Inequality with 3 variables involving homogeneous second degree expressions

Published on 01 Nov 2019 - 21:25

114

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Help Understanding Proof for Inequality Problem #3 from Problem Solving Strategies

Published on 27 Mar 2026 - 19:08

List Question

Inequality $\frac{a^2}{a+1}+\frac{(1-a)^2}{2-a}\geq\frac13$

If $a^2 - b^2 < c^2 - d^2$ with these conditions (see body), necessarily imply that $a - b < c - d$?

How is the Cauchy-Schwarz inequality applied here?

Typical Olympiad Inequality? If $\sum_i^na_i=n$ with $a_i>0$, then $\sum_{i=1}^n\left(\frac{a_i^3+1}{a_i^2+1}\right)^4\geq n$

Notation for dot product and scalar multiplication in a geometric interpretation of the Cauchy-Schwarz inequality

How to finish this proof using Cauchy-Schwarz inequality?

what is the appropriate inner product

Prove inequalities $\frac {36}{25} \le A(a) < 2$

Proof using Cauchy-Schwarz inequality

Generalization of the AM-GM inequality for three variables

Trivialize triangle inequality with linear algebra?

Let $x>1,y>1$ and $\left(\log_e x \right)^2+\left(\log_e y \right)^2=\log(x^2)+log(y^2)$, then find the maximum value of $x^{\log_e y}$

Proving an inequality using AM-GM

Inequality with 3 variables involving homogeneous second degree expressions

Help Understanding Proof for Inequality Problem #3 from Problem Solving Strategies

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