List questions from integral-inequality

Published on 14 Apr 2026 - 7:48

49

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An integral of a radial function

Published on 09 Apr 2026 - 20:58

33

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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 17 Apr 2026 - 2:35

151

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How can we show this inequality for a product integral?

Published on 11 Apr 2026 - 13:48

407

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Triangle inequality for functions.

Published on 11 Apr 2026 - 1:44

107

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Existence theorems for self adjoint elliptic systems

Published on 10 May 2026 - 22:05

37

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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 17 Apr 2026 - 7:54

109

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Bounding double integral, covariance function

Published on 13 Apr 2026 - 20:06

136

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Burkholder-David-Gundy ineq. with conditional expectation?

Published on 14 Apr 2026 - 12:11

97

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

Published on 15 Apr 2026 - 18:58

102

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$L^p$ space inequality

Published on 15 Apr 2026 - 5:32

61

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

Published on 16 Apr 2026 - 12:22

409

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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 15 Apr 2026 - 18:35

946

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

Published on 12 Apr 2026 - 9:42

39

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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 15 Apr 2026 - 16:54

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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