List questions from holder-inequality

Published on 17 Mar 2026 - 9:25

360

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When is $\Vert \Vert f \Vert_p \Vert_q \leq \Vert\Vert f\Vert_q\Vert_p$?

Published on 06 May 2018 - 7:20

174

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There exist constants such that $\|v\|_{0,2}≤c_1\|v\|_{1,2}+c_2 |u|$

Published on 16 May 2018 - 17:07

255

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Corollary of Holder inequality

Published on 05 Jun 2018 - 15:24

640

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Relation between convolution and $L^p$ norms

Published on 20 Jun 2018 - 16:38

135

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Generalized Hölder inequality: Application

Published on 23 Jun 2018 - 18:44

4.4k

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When does the equality hold in the Holder inequality?

Published on 01 Jul 2018 - 19:51

179

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How to show in $R^2$, the $f(x,y)=(x^4+y^4)^{1/4}$ defines a norm on $R^2$.

Published on 02 Jul 2018 - 1:45

1.2k

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Algebraic significance of Holder conjugates

Published on 09 Jul 2018 - 19:03

147

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Prove generalised Hölder's inequality without calculus or analysis.

Published on 23 Jul 2018 - 3:06

205

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Prove that $\sqrt{1-x^2} + \sqrt{1-y^2} + \sqrt{1-z^2}\geq 4\sqrt{\frac{3-(x^2+y^2+z^2)}{5+x^2+y^2+z^2}}$.

Published on 26 Jul 2018 - 20:28

486

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Equivalence between Hölder norms

Published on 28 Jul 2018 - 17:07

37

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Showing an inequality in the Banach space $C^1([a,b])$?

Published on 04 Aug 2018 - 4:07

106

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If $a$, $b$ and $c$ are positive then $\sum\limits_{cyc} \frac{a^{2}}{b^{2}+c^{2}+bc}\geq 1$

Published on 20 Mar 2026 - 5:20

1.6k

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Prove that: $xy\sqrt{z}+yz\sqrt{x}+zx\sqrt{y}\geq x+y+z$

Published on 07 Aug 2018 - 11:06

List Question

If $x+y+z=2$ prove that $\sum_{cyc}\frac{1}{\sqrt{x^2+y^2}}\ge2+\frac{1}{\sqrt{2}}$

When is $\Vert \Vert f \Vert_p \Vert_q \leq \Vert\Vert f\Vert_q\Vert_p$?

There exist constants such that $\|v\|_{0,2}≤c_1\|v\|_{1,2}+c_2 |u|$

Corollary of Holder inequality

Relation between convolution and $L^p$ norms

Generalized Hölder inequality: Application

When does the equality hold in the Holder inequality?

How to show in $R^2$, the $f(x,y)=(x^4+y^4)^{1/4}$ defines a norm on $R^2$.

Algebraic significance of Holder conjugates

Prove generalised Hölder's inequality without calculus or analysis.

Prove that $\sqrt{1-x^2} + \sqrt{1-y^2} + \sqrt{1-z^2}\geq 4\sqrt{\frac{3-(x^2+y^2+z^2)}{5+x^2+y^2+z^2}}$.

Equivalence between Hölder norms

Showing an inequality in the Banach space $C^1([a,b])$?

If $a$, $b$ and $c$ are positive then $\sum\limits_{cyc} \frac{a^{2}}{b^{2}+c^{2}+bc}\geq 1$

Prove that: $xy\sqrt{z}+yz\sqrt{x}+zx\sqrt{y}\geq x+y+z$

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