List questions from integral-inequality

Published on 17 Mar 2026 - 1:43

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Prove an integration inequality $\int_{0}^{1}\,\left(\int_{0}^{x}\,f(y)\,{\rm d}y\right)^2{\rm d}x\leqslant -\frac{mM}{6(M-m)^2}(3m^2-8mM+3M^2)$

Published on 18 Feb 2018 - 17:44

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Probabilistic Proof of Chebyshev Inequality - Step 3

Published on 17 Mar 2026 - 18:50

88

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Integral inequality $\int_{0}^{1}f^2\left(x\right)dx\geq\frac{3}{13}$

Published on 01 Mar 2018 - 18:55

100

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Integral inequality $e^{\int _0^1f\left(x\right)dx-1\:}\le \frac{1}{4}\int _0^1\left(x+1\right)e^{f\left(x\right)}dx$

Published on 02 Mar 2018 - 17:51

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An inequality with Sobolev norm.

Published on 17 Mar 2026 - 3:30

138

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Divergence of a Sequence of Integrals - An Olympiad Problem

Published on 17 Mar 2026 - 16:57

269

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Integral inequality between function and derivative

Published on 17 Mar 2026 - 6:36

46

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Average integration is increasing with measure

Published on 17 Mar 2026 - 2:28

324

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Interpolation like inequality ,Question from Brezis' book exercise 8.15

Published on 13 Mar 2018 - 9:28

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Geometric interpretation of Hölder's inequality

Published on 23 Mar 2026 - 1:04

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Explanation for the proof of Minkowski's inequality, Theorem 3.5, Rudin's RCA

Published on 15 Mar 2018 - 21:20

48

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Inequality and integrals

Published on 16 Mar 2026 - 21:10

98

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$L^2$ convergence and pointwise-norm

Published on 23 Mar 2026 - 13:35

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$\int_0^s \log f(t)dt \le \int_0^s \log g(t)dt$ for every $s\in (0,1)$ implies that $\int_0^1 \log (f(t)+1)dt \le \int_0^1 \log (g(t)+1)dt$?

Published on 22 Mar 2018 - 2:49

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converge in $\mu$ almost everywhere

Prove an integration inequality $\int_{0}^{1}\,\left(\int_{0}^{x}\,f(y)\,{\rm d}y\right)^2{\rm d}x\leqslant -\frac{mM}{6(M-m)^2}(3m^2-8mM+3M^2)$

Probabilistic Proof of Chebyshev Inequality - Step 3

Integral inequality $\int_{0}^{1}f^2\left(x\right)dx\geq\frac{3}{13}$

Integral inequality $e^{\int _0^1f\left(x\right)dx-1\:}\le \frac{1}{4}\int _0^1\left(x+1\right)e^{f\left(x\right)}dx$

An inequality with Sobolev norm.

Divergence of a Sequence of Integrals - An Olympiad Problem

Integral inequality between function and derivative

Average integration is increasing with measure

Interpolation like inequality ,Question from Brezis' book exercise 8.15

Geometric interpretation of Hölder's inequality

Explanation for the proof of Minkowski's inequality, Theorem 3.5, Rudin's RCA

Inequality and integrals

$L^2$ convergence and pointwise-norm

$\int_0^s \log f(t)dt \le \int_0^s \log g(t)dt$ for every $s\in (0,1)$ implies that $\int_0^1 \log (f(t)+1)dt \le \int_0^1 \log (g(t)+1)dt$?

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