List questions from integral-inequality

Published on 22 May 2020 - 16:24

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Find the maximum value of $\int_0^1 x^2f(x) - xf^2(x) dx$

Published on 23 May 2020 - 4:11

163

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Prove that Integration of sqrt sinx from 0 to π/2 is greater than π/3

Published on 23 May 2020 - 15:02

102

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Counterexample for Korn inequality when $p=\infty$

Published on 28 May 2020 - 20:45

203

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Functional inequality proof

Published on 31 May 2020 - 8:42

175

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Gronwall's inequality generalisation

Published on 01 Jun 2020 - 14:55

68

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Why is this inequality true?

Published on 02 Jun 2020 - 6:13

55

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Comparing an improper integral with the one for the same integrand multiplied by the integration variable

Published on 02 Jun 2020 - 9:34

126

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Does the variance of these random variables tend to zero?

Published on 02 Jun 2020 - 11:16

55

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Change of Variables Bound on Integral

Published on 25 Mar 2026 - 18:49

27

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Does homogeneous scaling minimize this integral quantity among all surjective maps?

Published on 09 Jun 2020 - 11:30

47

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$f(0)=0$,$f(1)=1$,find the largest $u$ such that $\int_0^1|f'(x)-f(x)|dx \geqslant u$.

Published on 10 Jun 2020 - 12:27

103

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On Sharp Poincaré-Friedrichs inequality

Published on 10 Jun 2020 - 15:08

93

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Fourier series and Parseval-Bessel formula

Published on 23 Feb 2026 - 2:54

264

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Need help understanding the use of Cauchy-Schwarz inequality involving integrals

Published on 13 Jun 2020 - 3:27

List Question

How to derive this inequality for the integral of $exp(x)^2$?

Find the maximum value of $\int_0^1 x^2f(x) - xf^2(x) dx$

Prove that Integration of sqrt sinx from 0 to π/2 is greater than π/3

Counterexample for Korn inequality when $p=\infty$

Functional inequality proof

Gronwall's inequality generalisation

Why is this inequality true?

Comparing an improper integral with the one for the same integrand multiplied by the integration variable

Does the variance of these random variables tend to zero?

Change of Variables Bound on Integral

Does homogeneous scaling minimize this integral quantity among all surjective maps?

$f(0)=0$,$f(1)=1$,find the largest $u$ such that $\int_0^1|f'(x)-f(x)|dx \geqslant u$.

On Sharp Poincaré-Friedrichs inequality

Fourier series and Parseval-Bessel formula

Need help understanding the use of Cauchy-Schwarz inequality involving integrals

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