List questions from integral-inequality

Published on 11 Apr 2026 - 21:29

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Lower bound of Fourier transform

Published on 14 Apr 2026 - 9:50

69

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Probability bounds

Published on 10 Apr 2026 - 20:58

150

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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 17 Apr 2026 - 10:19

232

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

Published on 15 Apr 2026 - 19:13

130

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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 16 Apr 2026 - 22:53

704

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How prove this integral inequality

Published on 12 Apr 2026 - 6:02

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 16 Apr 2026 - 8:10

153

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

Published on 15 Apr 2026 - 8:58

1k

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

Published on 14 Apr 2026 - 21:12

239

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Strange deduction about relation of median and mean

Published on 10 Apr 2026 - 18:31

705

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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 16 Apr 2026 - 7:16

543

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Weak/Variational Gronwall type inequality

Published on 13 Apr 2026 - 12:14

133

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An inequality involving norms.

Published on 09 Apr 2026 - 18:56

169

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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 17 Apr 2026 - 15:30

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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