Question

An inequality involving a $C^\infty$ function and its Fourier coefficients

score 59 · Answer 1 · 2026-04-26 03:33:49

59

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An inequality involving a $C^\infty$ function and its Fourier coefficients

Published on 26 Apr 2026 - 3:33

score 452 · Answer 2 · 2026-04-17 05:57:48

452

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Agmon's Inequality in higher dimensions

Published on 17 Apr 2026 - 5:57

score 156 · Answer 3 · 2026-04-23 06:30:54

156

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To prove the integral inequality $\int_\overline{\theta}^{\pi}\frac{d\theta}{\sqrt{1-\lambda \cos{\theta}}}\gt\pi$

Published on 23 Apr 2026 - 6:30

score 59 · Answer 4 · 2026-04-22 22:00:42

59

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Differential inequality transformed into an integral bound

Published on 22 Apr 2026 - 22:00

score 54 · Answer 5 · 2026-03-28 08:13:14

54

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Inequality involving homogenous function of degree -1

Published on 28 Mar 2026 - 8:13

score 98 · Answer 6 · 2026-04-09 19:30:37

98

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write $ f^{''} (t) \geq K $ equivalent as an integral inequality

Published on 09 Apr 2026 - 19:30

score 51 · Answer 7 · 2026-04-07 14:55:44

51

Views

Unable to prove an integral inequality involving

Published on 07 Apr 2026 - 14:55

score 58 · Answer 8 · 2026-03-28 08:08:44

58

Views

Inequality Involving Absolute Value

Published on 28 Mar 2026 - 8:08

score 172 · Answer 9 · 2026-03-28 08:08:42

172

Views

Questions on the Weierstrass approximation theorem

Published on 28 Mar 2026 - 8:08

score 66 · Answer 10 · 2026-03-28 09:53:28

66

Views

If $f ∈ L^1((0, 1))$ is non-negative and $\int_0^1 f=1$, then $\int_0^1 f^{-1}\ge 1$

Published on 28 Mar 2026 - 9:53

score 771 · Answer 11 · 2026-03-28 08:08:07

771

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Integral inequality - lower bound on $L^1$ norm.

Published on 28 Mar 2026 - 8:08

score 149 · Answer 12 · 2026-04-14 10:54:38

149

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Prove that it is impossible to bound the integral of a product by the product of integrals

Published on 14 Apr 2026 - 10:54

score 100 · Answer 13 · 2026-03-28 09:51:21

100

Views

Is $\int_1^2 \int_{(3/2-1/x_1)^{-1}}^2 \cdots \int_{[(n+1)/2-\sum_{k=1}^{n-1} 1/x_k]^{-1}}^2 \prod_{k=1}^n f(x_{k-1},x_k) dx_1 \dots dx_n \geq cq^n$?

Published on 28 Mar 2026 - 9:51

score 618 · Answer 14 · 2026-03-28 09:53:36

618

Views

Prove an integral inequality: $ \left(\int|f|^2dx\right)^2\le 4\left(\int|xf(x)|^2dx\right)\left(\int|f'|^2dx\right) $

Published on 28 Mar 2026 - 9:53

score 111 · Answer 15 · 2026-03-28 08:08:17

111

Views

Showing an inequality with integration

Published on 28 Mar 2026 - 8:08

List Question

An inequality involving a $C^\infty$ function and its Fourier coefficients

Agmon's Inequality in higher dimensions

To prove the integral inequality $\int_\overline{\theta}^{\pi}\frac{d\theta}{\sqrt{1-\lambda \cos{\theta}}}\gt\pi$

Differential inequality transformed into an integral bound

Inequality involving homogenous function of degree -1

write $ f^{''} (t) \geq K $ equivalent as an integral inequality

Unable to prove an integral inequality involving

Inequality Involving Absolute Value

Questions on the Weierstrass approximation theorem

If $f ∈ L^1((0, 1))$ is non-negative and $\int_0^1 f=1$, then $\int_0^1 f^{-1}\ge 1$

Integral inequality - lower bound on $L^1$ norm.

Prove that it is impossible to bound the integral of a product by the product of integrals

Is $\int_1^2 \int_{(3/2-1/x_1)^{-1}}^2 \cdots \int_{[(n+1)/2-\sum_{k=1}^{n-1} 1/x_k]^{-1}}^2 \prod_{k=1}^n f(x_{k-1},x_k) dx_1 \dots dx_n \geq cq^n$?

Prove an integral inequality: $ \left(\int|f|^2dx\right)^2\le 4\left(\int|xf(x)|^2dx\right)\left(\int|f'|^2dx\right) $

Showing an inequality with integration

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