List questions from integral-inequality

Published on 13 Apr 2026 - 5:24

57

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Finding an upper bound for a probability of minimum by moment inequality

Published on 13 Apr 2026 - 8:14

172

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Prove that $12(a\sin a+\cos a-1)^2\le 2a^4+a^3\sin(2a)$,$\forall a\in (0,\infty)$

Published on 16 Apr 2026 - 5:33

86

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An integral inequality related to the normal distribution

Published on 11 Apr 2026 - 19:17

228

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Strict subadditivity of upper Riemann/Darboux integral

Published on 14 Apr 2026 - 15:06

204

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Prove the following integral inequality

Published on 10 Apr 2026 - 18:05

191

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upper bounds for $\int_a^{b} \frac{\exp(x)}{x}\ dx$

Published on 15 Apr 2026 - 15:22

89

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Inequality involving integrals of trigonometric functions

Published on 12 Apr 2026 - 0:41

123

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Optimal coefficient in Cauchy-Schwartz inequality?

Published on 14 Apr 2026 - 10:33

43

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$f''(x)\ge m>0$, show that $ |\int_0^{+\infty}\exp(if(t))\mathrm{d}t | \le 8/\sqrt{m}$

Published on 17 Apr 2026 - 13:51

1.1k

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Integral of composition

Published on 10 Apr 2026 - 4:18

202

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Extending by zero a Sobolev function

Published on 09 Apr 2026 - 6:51

380

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Integral Inequality $|\int_0^x f(t)dt|\le \frac{2}{81}\max_{0\le x\le1}|f^{''}(x)|$

Published on 15 Apr 2026 - 21:08

46

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An integral inequality with little information

Published on 08 Apr 2026 - 18:39

187

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Median-median inequality

Published on 15 Apr 2026 - 9:01

List Question

Comparing $L^p$-norms of a function for two different values of $p$.

Finding an upper bound for a probability of minimum by moment inequality

Prove that $12(a\sin a+\cos a-1)^2\le 2a^4+a^3\sin(2a)$,$\forall a\in (0,\infty)$

An integral inequality related to the normal distribution

Strict subadditivity of upper Riemann/Darboux integral

Prove the following integral inequality

upper bounds for $\int_a^{b} \frac{\exp(x)}{x}\ dx$

Inequality involving integrals of trigonometric functions

Optimal coefficient in Cauchy-Schwartz inequality?

$f''(x)\ge m>0$, show that $ |\int_0^{+\infty}\exp(if(t))\mathrm{d}t | \le 8/\sqrt{m}$

Integral of composition

Extending by zero a Sobolev function

Integral Inequality $|\int_0^x f(t)dt|\le \frac{2}{81}\max_{0\le x\le1}|f^{''}(x)|$

An integral inequality with little information

Median-median inequality

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