Question

is it possible to use Holder inequality in this way?

score 106 · Answer 1 · 2021-12-30 16:09:31

106

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is it possible to use Holder inequality in this way?

Published on 30 Dec 2021 - 16:09

score 85 · Answer 2 · 2026-03-25 22:05:37

85

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Does there exist a constant $C>0$ such that for all simple functions $f$, $\int_1^\infty|f|\leq C(\int_1^\infty|f|^p)^{1/p}$?

Published on 25 Mar 2026 - 22:05

score 87 · Answer 3 · 2022-01-06 03:57:43

87

Views

If $f\in L^4[0,1]$ and $\|f\|_4\leq C\|f\|_2$, then $\|f\|_2\leq C_1\|f\|_1$

Published on 06 Jan 2022 - 3:57

score 42 · Answer 4 · 2022-01-06 05:51:51

42

Views

Determine whether a function $f$ satisfying $\int_{B_{2r}\setminus B_r}|f(x)|^3dx<Cr$, for every $r$ is $L^1(B_1)$

Published on 06 Jan 2022 - 5:51

score 68 · Answer 5 · 2022-01-06 18:43:25

68

Views

Proving the inequality $2\mathsf E(Y^2)^2\le \mathsf E(Y^2)\mathsf E(Y)^2+\mathsf E(Y^4).$

Published on 06 Jan 2022 - 18:43

score 103 · Answer 6 · 2022-01-18 00:01:21

103

Views

An estimate using Holder's inequality

Published on 18 Jan 2022 - 0:01

score 240 · Answer 7 · 2022-01-18 22:17:41

240

Views

What is the tightest bound that relates the L-1 norm with the L-p norm, for $p \geq 1$ and $n\rightarrow \infty$?

Published on 18 Jan 2022 - 22:17

score 130 · Answer 8 · 2022-01-26 14:57:15

130

Views

Proving a particular inequality using Hölder

Published on 26 Jan 2022 - 14:57

score 108 · Answer 9 · 2022-01-28 19:15:26

108

Views

Funny consequence of Hölder Inequality

Published on 28 Jan 2022 - 19:15

score 149 · Answer 10 · 2022-02-14 14:34:17

149

Views

Help with a vector inequality (Holder's / Jensen's)

Published on 14 Feb 2022 - 14:34

score 132 · Answer 11 · 2022-02-20 18:27:45

132

Views

Solving the inequality using Binomial Theorem

Published on 20 Feb 2022 - 18:27

score 52 · Answer 12 · 2022-02-26 10:39:27

52

Views

Show that $\sum_{cyc}\frac{\sqrt{x}\left(\frac{1}{x}+y\right)}{\sqrt{1+x^2}}\ge 3\sqrt{2}$

Published on 26 Feb 2022 - 10:39

score 108 · Answer 13 · 2022-03-03 13:37:40

108

Views

Optimal speed for approaching red light to maximize velocity with non-uniform probability

Published on 03 Mar 2022 - 13:37

score 142 · Answer 14 · 2022-03-10 20:24:10

142

Views

Confusions in Holder's Inequality

Published on 10 Mar 2022 - 20:24

score 132 · Answer 15 · 2022-03-12 01:10:54

132

Views

Applying Hölder's inequality

Published on 12 Mar 2022 - 1:10

List Question

is it possible to use Holder inequality in this way?

Does there exist a constant $C>0$ such that for all simple functions $f$, $\int_1^\infty|f|\leq C(\int_1^\infty|f|^p)^{1/p}$?

If $f\in L^4[0,1]$ and $\|f\|_4\leq C\|f\|_2$, then $\|f\|_2\leq C_1\|f\|_1$

Determine whether a function $f$ satisfying $\int_{B_{2r}\setminus B_r}|f(x)|^3dx<Cr$, for every $r$ is $L^1(B_1)$

Proving the inequality $2\mathsf E(Y^2)^2\le \mathsf E(Y^2)\mathsf E(Y)^2+\mathsf E(Y^4).$

An estimate using Holder's inequality

What is the tightest bound that relates the L-1 norm with the L-p norm, for $p \geq 1$ and $n\rightarrow \infty$?

Proving a particular inequality using Hölder

Funny consequence of Hölder Inequality

Help with a vector inequality (Holder's / Jensen's)

Solving the inequality using Binomial Theorem

Show that $\sum_{cyc}\frac{\sqrt{x}\left(\frac{1}{x}+y\right)}{\sqrt{1+x^2}}\ge 3\sqrt{2}$

Optimal speed for approaching red light to maximize velocity with non-uniform probability

Confusions in Holder's Inequality

Applying Hölder's inequality

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