List questions from holder-inequality

Published on 12 Apr 2026 - 9:51

49

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Prove that $||\mathbf u \mathbf v ||_1 \leq ||\mathbf u ||_a \cdot ||\mathbf v ||_b$

Published on 14 Apr 2026 - 21:53

317

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An Inequality Problem $1 \le \frac{a}{1-ab}+\frac{b}{1-bc}+\frac{c}{1-ac} \le \frac{3\sqrt{3}}{2}$

Published on 14 Apr 2026 - 18:44

254

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How prove this inequality $\sum\limits_{cyc}\frac{a^3}{b+c+d}\ge \dfrac{1}{3}$,if $\sum\limits_{cyc}a\sqrt{bc}\ge 1$

Published on 10 May 2026 - 17:02

337

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Proof of an inequality

Published on 10 May 2026 - 15:27

460

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How to prove the inequality $ \frac{a}{\sqrt{1+a}}+\frac{b}{\sqrt{1+b}}+\frac{c}{\sqrt{1+c}} \ge \frac{3\sqrt{2}}{2}$

Published on 16 Apr 2026 - 18:21

433

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Minimum of $\sqrt{\frac{a}{b+c}}+\sqrt{\frac{b}{c+a}}+\sqrt{\frac{c}{a+b}}$

Published on 11 Apr 2026 - 22:02

191

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Hidden Cauchy-Schwarz inequality

Published on 14 Apr 2026 - 22:04

104

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How to solve this inequality :

Published on 25 Mar 2026 - 11:21

79

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An elementary inequality for 3 positive real numbers

Published on 04 May 2026 - 8:54

151

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Prove the given inequality if $a+b+c=1$

Published on 17 Apr 2026 - 9:28

86

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Trivialize triangle inequality with linear algebra?

Published on 12 Apr 2026 - 3:43

107

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Extremal version of Holder's inequality

Published on 16 Apr 2026 - 4:38

18

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Starting point of solving estimates in Lebesgue spaces

Published on 26 Oct 2019 - 11:25

740

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Understanding proof when equality holds in Minkowski's inequality

Published on 25 Mar 2026 - 11:21

List Question

Does the Holder inequality hold for the following?

Prove that $||\mathbf u \mathbf v ||_1 \leq ||\mathbf u ||_a \cdot ||\mathbf v ||_b$

An Inequality Problem $1 \le \frac{a}{1-ab}+\frac{b}{1-bc}+\frac{c}{1-ac} \le \frac{3\sqrt{3}}{2}$

How prove this inequality $\sum\limits_{cyc}\frac{a^3}{b+c+d}\ge \dfrac{1}{3}$,if $\sum\limits_{cyc}a\sqrt{bc}\ge 1$

Proof of an inequality

How to prove the inequality $ \frac{a}{\sqrt{1+a}}+\frac{b}{\sqrt{1+b}}+\frac{c}{\sqrt{1+c}} \ge \frac{3\sqrt{2}}{2}$

Minimum of $\sqrt{\frac{a}{b+c}}+\sqrt{\frac{b}{c+a}}+\sqrt{\frac{c}{a+b}}$

Hidden Cauchy-Schwarz inequality

How to solve this inequality :

An elementary inequality for 3 positive real numbers

Prove the given inequality if $a+b+c=1$

Trivialize triangle inequality with linear algebra?

Extremal version of Holder's inequality

Starting point of solving estimates in Lebesgue spaces

Understanding proof when equality holds in Minkowski's inequality

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