List questions from integral-inequality

Published on 13 Apr 2026 - 0:25

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Somewhat L2 against H1 estimate; an inequality in H1

Published on 09 Apr 2026 - 0:25

743

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Proof that Lipschitz condition guarantees well posedness of initial value problems

Published on 13 Apr 2026 - 23:12

157

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hyperbolic inequality

Published on 12 Apr 2026 - 14:08

919

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Hausdorff-Young inequality

Published on 10 May 2026 - 14:03

254

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How prove this $\int_{0}^{2\pi}e^{\sin{x}}dx<2\pi e^{\frac{1}{4}}$

Published on 15 Apr 2026 - 0:13

101

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Integral inequality related to derivation

Published on 13 Apr 2026 - 21:03

108

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A problem about center of mass

Published on 09 Apr 2026 - 22:37

559

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How prove this integral inequality $6\left(\int_{0}^{1}f(x)dx\right)^2\le 1+ 8\int_{0}^{1}f^3(x)dx$

Published on 16 Apr 2026 - 4:11

2.1k

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L1 convergence and Lp bounded implies Lq convergence

Published on 15 Apr 2026 - 9:36

273

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Show $\displaystyle\int_0^af(x)g(x)dx\ge\int_0^af(a-x)g(x)dx$

Published on 16 Apr 2026 - 1:47

358

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How to prove $\int_{-\pi}^\pi (f(x))^2dx\le \int_{-\pi}^\pi (f'(x))^2dx$

Published on 15 Apr 2026 - 20:59

348

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Prove the following: $\int_{a}^{b}|f\left(t\right)|dt\leq\left(b-a\right)\int_{a}^{b}|f'\left(t\right)|dt$

Published on 16 Apr 2026 - 13:21

198

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How does one prove or disprove this integral inequality for a $C^1([0,1])$ function with zero average?

Published on 16 Apr 2026 - 4:08

278

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Integral inequality $\int_0^{+\infty}|\frac{\sin x}x|^p dx\leq\frac\pi{\sqrt{2p}}$

Published on 16 Apr 2026 - 7:37

List Question

Integral inequality with a function twice differentiable

Somewhat L2 against H1 estimate; an inequality in H1

Proof that Lipschitz condition guarantees well posedness of initial value problems

hyperbolic inequality

Hausdorff-Young inequality

How prove this $\int_{0}^{2\pi}e^{\sin{x}}dx<2\pi e^{\frac{1}{4}}$

Integral inequality related to derivation

A problem about center of mass

How prove this integral inequality $6\left(\int_{0}^{1}f(x)dx\right)^2\le 1+ 8\int_{0}^{1}f^3(x)dx$

L1 convergence and Lp bounded implies Lq convergence

Show $\displaystyle\int_0^af(x)g(x)dx\ge\int_0^af(a-x)g(x)dx$

How to prove $\int_{-\pi}^\pi (f(x))^2dx\le \int_{-\pi}^\pi (f'(x))^2dx$

Prove the following: $\int_{a}^{b}|f\left(t\right)|dt\leq\left(b-a\right)\int_{a}^{b}|f'\left(t\right)|dt$

How does one prove or disprove this integral inequality for a $C^1([0,1])$ function with zero average?

Integral inequality $\int_0^{+\infty}|\frac{\sin x}x|^p dx\leq\frac\pi{\sqrt{2p}}$

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