Question

Explaining the proof of $||f||_q \leq ||f||_p \mu (X)^{\frac{1}{q} - \frac{1}{p}}$

score 425 · Answer 1 · 2018-03-11 13:26:48

425

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Explaining the proof of $||f||_q \leq ||f||_p \mu (X)^{\frac{1}{q} - \frac{1}{p}}$

Published on 11 Mar 2018 - 13:26

score 130 · Answer 2 · 2026-03-22 03:53:53

130

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Question about Hölder's inequality proof

Published on 22 Mar 2026 - 3:53

score 517 · Answer 3 · 2026-03-21 22:48:08

517

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L2 Norm Inequality

Published on 21 Mar 2026 - 22:48

score 46 · Answer 4 · 2026-03-17 02:28:46

46

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Average integration is increasing with measure

Published on 17 Mar 2026 - 2:28

score 121 · Answer 5 · 2018-03-14 02:13:20

121

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Application of Holder's Inequality: $\mathbb{E}|X| \ge \frac 1{\mathbb{E}\left[X^4\right]^{1/2}}$

Published on 14 Mar 2018 - 2:13

score 39 · Answer 6 · 2026-03-22 20:14:29

39

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Weak convergence in $L^1$ with a bounded factor

Published on 22 Mar 2026 - 20:14

score 159 · Answer 7 · 2026-03-20 14:47:31

159

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Prove this Hard inequality to CS or AM-GM?

Published on 20 Mar 2026 - 14:47

score 483 · Answer 8 · 2018-04-12 17:47:09

483

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Holders inequality for Hilbert Schmidt operators which are also trace class

Published on 12 Apr 2018 - 17:47

score 126 · Answer 9 · 2026-03-22 20:34:35

126

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Having trouble showing this inequality

Published on 22 Mar 2026 - 20:34

score 276 · Answer 10 · 2018-04-17 08:21:49

276

Views

Inequality $a,b,c > 0 \Rightarrow \frac{b+c}{\sqrt{a^2 + bc}} + \frac{a+c}{\sqrt{b^2 + ac}} + \frac{a+b}{\sqrt{c^2 + ab}} \geq 4$

Published on 17 Apr 2018 - 8:21

score 427 · Answer 11 · 2026-03-22 17:30:12

427

Views

Is there a reverse Hölder inequality for matrices?

Published on 22 Mar 2026 - 17:30

score 265 · Answer 12 · 2026-03-17 11:14:19

265

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Prove this inequality $Σ_{cyc}\sqrt{\frac{a}{b+3c}}\ge \frac{3}{2}$ with $a;b;c>0$

Published on 17 Mar 2026 - 11:14

score 101 · Answer 13 · 2018-04-27 07:28:34

101

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product of $f(x)f(y)f(z)\geq1$ for $f(x)=ax^2+bx+c$ with $xyz=1$ and $a+b+c=1$.

Published on 27 Apr 2018 - 7:28

score 207 · Answer 14 · 2018-04-29 03:02:34

207

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By Holder inequality, show that $2\sin^2\lambda - \lambda \sin(2\lambda)\leq 2\lambda^2.$

Published on 29 Apr 2018 - 3:02

score 212 · Answer 15 · 2018-04-29 17:47:41

212

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Integral of Function in $L^p(E)$ Times Functions in Dense Set Being $0$ Implies Function is $0$

Published on 29 Apr 2018 - 17:47

List Question

Explaining the proof of $||f||_q \leq ||f||_p \mu (X)^{\frac{1}{q} - \frac{1}{p}}$

Question about Hölder's inequality proof

L2 Norm Inequality

Average integration is increasing with measure

Application of Holder's Inequality: $\mathbb{E}|X| \ge \frac 1{\mathbb{E}\left[X^4\right]^{1/2}}$

Weak convergence in $L^1$ with a bounded factor

Prove this Hard inequality to CS or AM-GM?

Holders inequality for Hilbert Schmidt operators which are also trace class

Having trouble showing this inequality

Inequality $a,b,c > 0 \Rightarrow \frac{b+c}{\sqrt{a^2 + bc}} + \frac{a+c}{\sqrt{b^2 + ac}} + \frac{a+b}{\sqrt{c^2 + ab}} \geq 4$

Is there a reverse Hölder inequality for matrices?

Prove this inequality $Σ_{cyc}\sqrt{\frac{a}{b+3c}}\ge \frac{3}{2}$ with $a;b;c>0$

product of $f(x)f(y)f(z)\geq1$ for $f(x)=ax^2+bx+c$ with $xyz=1$ and $a+b+c=1$.

By Holder inequality, show that $2\sin^2\lambda - \lambda \sin(2\lambda)\leq 2\lambda^2.$

Integral of Function in $L^p(E)$ Times Functions in Dense Set Being $0$ Implies Function is $0$

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