List questions from integral-inequality

Published on 05 Sep 2013 - 20:50

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Lower bound of Fourier transform

Published on 10 Sep 2013 - 15:33

67

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Probability bounds

Published on 26 Mar 2026 - 20:26

148

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Prove that $\left \|x(t_0) \right \|\exp \left (-\int_{t_0}^{t} \left \|A(t_1) \right \|\mathrm{d}t_1 \right )\le \left \| x(t) \right \|$

Published on 11 Sep 2013 - 17:23

229

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When $\int_a^b\left(f(x)\right)^kdx=\left[\int_a^bf(x)dx\right]^k$

Published on 12 Sep 2013 - 14:28

127

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Find min $P$: $P=\frac{1}{(a+b)(b+c)}+\frac{1}{(c+a)(a+b)}+(c+1)(3+a+b)$

Published on 12 Sep 2013 - 15:56

702

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How prove this integral inequality

Published on 13 Sep 2013 - 4:50

3k

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How prove this $\int_{a}^{b}f^2(x)dx\le (b-a)^2\int_{a}^{b}[f'(x)]^2dx$

Published on 20 Sep 2013 - 2:29

151

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How prove this integral inequality.$\int_{1}^{e}f(a,b,c,x)dx\ge a+b+c$

Published on 20 Sep 2013 - 3:22

1k

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How prove this $\int_{a}^{b}[f''(x)]^2dx\ge\dfrac{4}{b-a}$

Published on 20 Sep 2013 - 8:16

236

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Strange deduction about relation of median and mean

Published on 24 Sep 2013 - 16:17

702

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How to prove that there exists $g(x)$ such $\int_{0}^{1}g(x)dx\ge\frac{1}{2}\int_{0}^{1}f(x)dx$

Published on 26 Sep 2013 - 9:14

540

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Weak/Variational Gronwall type inequality

Published on 26 Sep 2013 - 13:59

131

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An inequality involving norms.

Published on 27 Mar 2026 - 0:03

166

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How prove this integral inequality$\left(\int_{0}^{+\infty}\left(\frac{1}{x}\int_{0}^{x}|f(t)|dt\right)^pdx\right)^{\frac{1}{p}}$?

Published on 08 Oct 2013 - 9:57

List Question

Inequality in Schwartz space

Lower bound of Fourier transform

Probability bounds

Prove that $\left \|x(t_0) \right \|\exp \left (-\int_{t_0}^{t} \left \|A(t_1) \right \|\mathrm{d}t_1 \right )\le \left \| x(t) \right \|$

When $\int_a^b\left(f(x)\right)^kdx=\left[\int_a^bf(x)dx\right]^k$

Find min $P$: $P=\frac{1}{(a+b)(b+c)}+\frac{1}{(c+a)(a+b)}+(c+1)(3+a+b)$

How prove this integral inequality

How prove this $\int_{a}^{b}f^2(x)dx\le (b-a)^2\int_{a}^{b}[f'(x)]^2dx$

How prove this integral inequality.$\int_{1}^{e}f(a,b,c,x)dx\ge a+b+c$

How prove this $\int_{a}^{b}[f''(x)]^2dx\ge\dfrac{4}{b-a}$

Strange deduction about relation of median and mean

How to prove that there exists $g(x)$ such $\int_{0}^{1}g(x)dx\ge\frac{1}{2}\int_{0}^{1}f(x)dx$

Weak/Variational Gronwall type inequality

An inequality involving norms.

How prove this integral inequality$\left(\int_{0}^{+\infty}\left(\frac{1}{x}\int_{0}^{x}|f(t)|dt\right)^pdx\right)^{\frac{1}{p}}$?

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