List questions from integral-inequality

Published on 14 Nov 2019 - 2:59

46

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An integral of a radial function

Published on 17 Nov 2019 - 10:04

30

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Can we show that $\int\mu({\rm d}x)\left|\int\mu({\rm d}y)p(x,y)(g(y)-g(x))\right|^2\le c\int\mu({\rm d}x)|g(x)|^2$?

Published on 18 Nov 2019 - 11:14

148

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How can we show this inequality for a product integral?

Published on 18 Nov 2019 - 18:11

404

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Triangle inequality for functions.

Published on 18 Nov 2019 - 18:33

106

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Existence theorems for self adjoint elliptic systems

Published on 25 Mar 2026 - 13:53

34

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Show that $\int_0^\infty\frac1{a+(k+(1-x))^2}\:{\rm d}k\le\frac1{\sqrt a}\int_0^{\frac{\sqrt a}{1-x}}\frac1{1+y^2}\:{\rm d}y$

Published on 25 Nov 2019 - 10:46

106

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Bounding double integral, covariance function

Published on 29 Nov 2019 - 13:08

133

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Burkholder-David-Gundy ineq. with conditional expectation?

Published on 02 Dec 2019 - 16:32

95

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Inclusions of $L^1[a,b]$, $L^2[a,b]$ and $L^3[a,b]$

Published on 08 Dec 2019 - 15:27

99

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$L^p$ space inequality

Published on 12 Dec 2019 - 19:15

58

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For $f\in L^2$, the function $(-\Delta)^{-1/2}f$ is in $L^2 + L^\infty$.

Published on 17 Dec 2019 - 9:53

406

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How prove this $\left(\int_{-\pi}^{\pi}f(x)\sin{x}dx\right)^2+\left(\int_{-\pi}^{\pi}f(x)\cos{x}dx\right)^2\le\frac{\pi}{2}\int_{-\pi}^{+\pi}f^2(x)dx$

Published on 27 Dec 2019 - 1:02

943

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$p-$ Norm for Integrals $\int_{a}^b$ and Hölder and Minkowski- inequality

Published on 03 Jan 2020 - 11:18

36

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Why $\|u\|_{L^{2}}\|v\|_{L^{2}}+\|v'\|_{L^{2}}+\|u'\|_{L^{2}}≤\|v\|_{H^{1}}\|u\|_{H^{1}}$

Published on 04 Jan 2020 - 22:14

List Question

Integral Inequality 3 terms- Cauchy Schwarz

An integral of a radial function

Can we show that $\int\mu({\rm d}x)\left|\int\mu({\rm d}y)p(x,y)(g(y)-g(x))\right|^2\le c\int\mu({\rm d}x)|g(x)|^2$?

How can we show this inequality for a product integral?

Triangle inequality for functions.

Existence theorems for self adjoint elliptic systems

Show that $\int_0^\infty\frac1{a+(k+(1-x))^2}\:{\rm d}k\le\frac1{\sqrt a}\int_0^{\frac{\sqrt a}{1-x}}\frac1{1+y^2}\:{\rm d}y$

Bounding double integral, covariance function

Burkholder-David-Gundy ineq. with conditional expectation?

Inclusions of $L^1[a,b]$, $L^2[a,b]$ and $L^3[a,b]$

$L^p$ space inequality

For $f\in L^2$, the function $(-\Delta)^{-1/2}f$ is in $L^2 + L^\infty$.

How prove this $\left(\int_{-\pi}^{\pi}f(x)\sin{x}dx\right)^2+\left(\int_{-\pi}^{\pi}f(x)\cos{x}dx\right)^2\le\frac{\pi}{2}\int_{-\pi}^{+\pi}f^2(x)dx$

$p-$ Norm for Integrals $\int_{a}^b$ and Hölder and Minkowski- inequality

Why $\|u\|_{L^{2}}\|v\|_{L^{2}}+\|v'\|_{L^{2}}+\|u'\|_{L^{2}}≤\|v\|_{H^{1}}\|u\|_{H^{1}}$

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