List questions from holder-inequality

Published on 26 Mar 2026 - 14:25

84

Views

Show that the following inequality, $\bigg\lVert\prod_{i=1}^{k}f_{i}\bigg\rVert_{L^{r}}\le\prod_{i=1}^{k}\lVert f_{i}\rVert_{L^{p_{i}}}$ holds

Published on 23 Dec 2017 - 10:08

154

Views

Contest Math: Finding maximum value under restrictions

Published on 28 Dec 2017 - 5:50

261

Views

How does Cauchy-Schwarz imply Hölder inthe special case $p=q=2$?

Published on 12 Jan 2018 - 21:40

1.2k

Views

Prove $(a_1+b_1)^{1/n}\cdots(a_n+b_n)^{1/n}\ge \left(a_1\cdots a_n\right)^{1/n}+\left(b_1\cdots b_n\right)^{1/n}$

Published on 27 Mar 2011 - 20:50

1.3k

Views

An inequality on a convex function

Published on 15 Apr 2011 - 22:08

790

Views

Hölder Inequality

Published on 16 May 2011 - 10:47

23.4k

Views

On the equality case of the Hölder and Minkowski inequalities

Published on 02 Dec 2011 - 5:53

371

Views

Showing that $ \left( \frac{a+2b}{a+2c}\right)^3+\left( \frac{b+2c}{b+2a}\right)^3+\left( \frac{c+2a}{c+2b}\right)^3 \geq3 $

Published on 26 Mar 2026 - 17:53

396

Views

Inequality. $\frac{a^3}{a+b}+\frac{b^3}{b+c}+\frac{c^3}{c+a} \geq \frac{ab+bc+ca}{2}$

Published on 28 Oct 2012 - 19:15

66

Views

$|a^Tb| \leq \|a\|_{M} \|b\|_{M^{-1}}$ where $M$ is positive definite matrix and $a, b \in \mathbb{R}^d$

Published on 03 Aug 2020 - 18:34

304

Views

On Huygens Inequality for a proof.

Published on 08 Aug 2020 - 11:17

83

Views

How precise is an inequality

Published on 14 Aug 2020 - 9:01

705

Views

Proving conditional Hölder inequality using regular conditional distribution

Published on 18 Aug 2020 - 22:50

236

Views

Proving $3(1−a+a^2)(1−b+b^2)(1−c+c^2)≥1+abc+a^2b^2c^2$

Published on 22 Aug 2020 - 9:47

List Question

Proof of Holder's Inequality using Jensen's Inequality - Integrability

Show that the following inequality, $\bigg\lVert\prod_{i=1}^{k}f_{i}\bigg\rVert_{L^{r}}\le\prod_{i=1}^{k}\lVert f_{i}\rVert_{L^{p_{i}}}$ holds

Contest Math: Finding maximum value under restrictions

How does Cauchy-Schwarz imply Hölder inthe special case $p=q=2$?

Prove $(a_1+b_1)^{1/n}\cdots(a_n+b_n)^{1/n}\ge \left(a_1\cdots a_n\right)^{1/n}+\left(b_1\cdots b_n\right)^{1/n}$

An inequality on a convex function

Hölder Inequality

On the equality case of the Hölder and Minkowski inequalities

Showing that $ \left( \frac{a+2b}{a+2c}\right)^3+\left( \frac{b+2c}{b+2a}\right)^3+\left( \frac{c+2a}{c+2b}\right)^3 \geq3 $

Inequality. $\frac{a^3}{a+b}+\frac{b^3}{b+c}+\frac{c^3}{c+a} \geq \frac{ab+bc+ca}{2}$

$|a^Tb| \leq \|a\|_{M} \|b\|_{M^{-1}}$ where $M$ is positive definite matrix and $a, b \in \mathbb{R}^d$

On Huygens Inequality for a proof.

How precise is an inequality

Proving conditional Hölder inequality using regular conditional distribution

Proving $3(1−a+a^2)(1−b+b^2)(1−c+c^2)≥1+abc+a^2b^2c^2$

Trending Questions

Popular # Hahtags

Popular Questions