List questions from integral-inequality

Published on 13 Apr 2026 - 7:44

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

Published on 16 Apr 2026 - 10:51

166

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

Published on 13 Apr 2026 - 17:23

105

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Counterexample for Korn inequality when $p=\infty$

Published on 09 Apr 2026 - 23:56

206

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Functional inequality proof

Published on 12 Apr 2026 - 6:11

178

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Gronwall's inequality generalisation

Published on 11 Apr 2026 - 8:54

71

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Why is this inequality true?

Published on 13 Apr 2026 - 22:52

58

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

Published on 14 Apr 2026 - 2:40

129

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Does the variance of these random variables tend to zero?

Published on 15 Apr 2026 - 12:49

56

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Change of Variables Bound on Integral

Published on 11 May 2026 - 9:48

30

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

Published on 14 Apr 2026 - 16:03

50

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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 17 Apr 2026 - 2:50

106

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On Sharp Poincaré-Friedrichs inequality

Published on 15 Apr 2026 - 11:14

94

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Fourier series and Parseval-Bessel formula

Published on 09 Apr 2026 - 6:04

267

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

Published on 11 Apr 2026 - 5:46

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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