List questions from holder-inequality

Published on 01 Mar 2026 - 18:49

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Panaitopol inequality

Published on 18 Aug 2021 - 23:33

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Inequality between norm 1,norm 2 and norm $\infty$ of Matrices

Published on 29 Aug 2021 - 11:38

328

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Elementary Proof of $\lVert A \rVert_p \leq \lVert A \rVert_1^{1/p} \lVert A \rVert_\infty^{1/q}$ where $1/p+1/q=1$

Published on 29 Aug 2021 - 18:51

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inequality for positive real numbers

Published on 02 Sep 2021 - 13:08

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Find the minimum value of the function $f(x)=\frac{x^p}{p}+\frac{x^{-q}}{q}$,where $\frac{1}{p}+\frac{1}{q}=1$ and $p>1$

Published on 08 Sep 2021 - 13:55

528

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Prove that: $\sum\limits_{cyc}\frac{1}{\sqrt{2a^2+5ab+2b^2}} \geq\sqrt{\frac{3}{ab+ac+bc}}$

Published on 26 Mar 2026 - 21:10

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Understanding the intuition behind a proof of Holder’s Inequality

Published on 22 Sep 2021 - 19:56

125

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Inequality with strange sum of cubic roots

Published on 24 Sep 2021 - 15:41

453

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Prove that $\sqrt[3]{a} + \sqrt[3]{b} + \sqrt[3]{c} \ge ab + bc + ca$

Published on 26 Mar 2026 - 21:09

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Show the $d_p(x,y)$ is not a metric on $\mathbb{R}^2$

Published on 24 Feb 2026 - 3:30

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It is true that $L^p(\mathbb{R}^n)\subset \mathscr{S}'(\mathbb{R}^n)$, $1\leq p\leq\infty$?

Published on 01 Oct 2021 - 15:52

63

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Show $E(|X|) \ge \frac{1}{\sqrt{E(X^4)}}$

Published on 03 Oct 2021 - 19:47

265

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Baby rudin theorem 8.18

Published on 05 Oct 2021 - 19:24

33

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Hölder condition for the function $f(x)=x^{\frac{1}{n}}$

Published on 09 Oct 2021 - 18:35

List Question

To show closedness of a function of random variables

Panaitopol inequality

Inequality between norm 1,norm 2 and norm $\infty$ of Matrices

Elementary Proof of $\lVert A \rVert_p \leq \lVert A \rVert_1^{1/p} \lVert A \rVert_\infty^{1/q}$ where $1/p+1/q=1$

inequality for positive real numbers

Find the minimum value of the function $f(x)=\frac{x^p}{p}+\frac{x^{-q}}{q}$,where $\frac{1}{p}+\frac{1}{q}=1$ and $p>1$

Prove that: $\sum\limits_{cyc}\frac{1}{\sqrt{2a^2+5ab+2b^2}} \geq\sqrt{\frac{3}{ab+ac+bc}}$

Understanding the intuition behind a proof of Holder’s Inequality

Inequality with strange sum of cubic roots

Prove that $\sqrt[3]{a} + \sqrt[3]{b} + \sqrt[3]{c} \ge ab + bc + ca$

Show the $d_p(x,y)$ is not a metric on $\mathbb{R}^2$

It is true that $L^p(\mathbb{R}^n)\subset \mathscr{S}'(\mathbb{R}^n)$, $1\leq p\leq\infty$?

Show $E(|X|) \ge \frac{1}{\sqrt{E(X^4)}}$

Baby rudin theorem 8.18

Hölder condition for the function $f(x)=x^{\frac{1}{n}}$

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