List questions from holder-inequality

Published on 24 Apr 2021 - 19:24

36

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Royden 7.2 Exercise 22: Inequality for the Indefinite Integral of an $L^p[a, b]$ function

Published on 29 Apr 2021 - 23:56

115

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Application of Arzelà-Ascoli theorem

Published on 23 Feb 2026 - 21:35

71

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Hölder inequality, showing that if $\int_1^\infty |f(x)| dx$ exists, then exists $\int_1^\infty |f(x)|^2 dx $

Published on 23 May 2021 - 13:20

34

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Vectors such that $\lVert x + y \rVert_p^p = \lVert x \rVert_p^p + \lVert y \rVert_p^p$

Published on 26 May 2021 - 23:40

44

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For $1<p<q<\infty$ show $L^q[0, 1] \subset L^p[0, 1]$

Published on 06 Jun 2021 - 0:30

55

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show that $\lim _ {R \rightarrow \infty} R^{-p} \int_{R<\left|x\right|<2R}\left|u(x)\right|^p dx=0$

Published on 07 Jun 2021 - 16:20

306

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showing that a function is a bounded linear functional

Published on 12 Jun 2021 - 14:34

312

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A certain converse of Hölder's inequality for $L^\infty$ space.

Published on 22 Jun 2021 - 8:17

173

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How does Holder's inequality apply to the expectation operator when using the infinity norm?

Published on 27 Jun 2021 - 0:50

27

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Understanding an argument involving Holder spaces

Published on 30 Jun 2021 - 14:51

224

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Is there Inequality relating the arithmetic mean (AM) and the dot product

Published on 26 Mar 2026 - 1:03

80

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Inequality for nonegative real numbers

Published on 30 Jul 2021 - 23:59

106

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Hard and non-trivial inequality with three variable reals

Published on 26 Mar 2026 - 19:17

152

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Find minimum value of $\frac{x^3}{\sqrt{2(y^4+1)}}+\frac{y^3}{\sqrt{2(z^4+1)}}+\frac{z^3}{\sqrt{2(x^4+1)}}$

Published on 04 Aug 2021 - 6:23

List Question

Problem using Hölder inequality

Royden 7.2 Exercise 22: Inequality for the Indefinite Integral of an $L^p[a, b]$ function

Application of Arzelà-Ascoli theorem

Hölder inequality, showing that if $\int_1^\infty |f(x)| dx$ exists, then exists $\int_1^\infty |f(x)|^2 dx $

Vectors such that $\lVert x + y \rVert_p^p = \lVert x \rVert_p^p + \lVert y \rVert_p^p$

For $1<p<q<\infty$ show $L^q[0, 1] \subset L^p[0, 1]$

show that $\lim _ {R \rightarrow \infty} R^{-p} \int_{R<\left|x\right|<2R}\left|u(x)\right|^p dx=0$

showing that a function is a bounded linear functional

A certain converse of Hölder's inequality for $L^\infty$ space.

How does Holder's inequality apply to the expectation operator when using the infinity norm?

Understanding an argument involving Holder spaces

Is there Inequality relating the arithmetic mean (AM) and the dot product

Inequality for nonegative real numbers

Hard and non-trivial inequality with three variable reals

Find minimum value of $\frac{x^3}{\sqrt{2(y^4+1)}}+\frac{y^3}{\sqrt{2(z^4+1)}}+\frac{z^3}{\sqrt{2(x^4+1)}}$

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