Question

proving an integral inequality_

score 145 · Answer 1 · 2021-06-11 17:33:01

145

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proving an integral inequality_

Published on 11 Jun 2021 - 17:33

score 233 · Answer 2 · 2021-06-14 02:35:28

233

Views

Non-existence of supremum norm bound in terms of $L^2$ norm of gradient

Published on 14 Jun 2021 - 2:35

score 105 · Answer 3 · 2021-06-14 03:16:13

105

Views

Solution prove an integral-inequality with certain initial condition

Published on 14 Jun 2021 - 3:16

score 88 · Answer 4 · 2021-06-14 13:35:20

88

Views

Godunova Levin Cebaevskaya Inequality

Published on 14 Jun 2021 - 13:35

score 106 · Answer 5 · 2021-06-19 13:28:56

106

Views

If $\gamma$ is a circle and $\int_0^{2\pi}y(t) \, dt =0$ then $y(t)=a \sin t + b\cos t$

Published on 19 Jun 2021 - 13:28

score 61 · Answer 6 · 2021-07-01 13:53:13

61

Views

$L^1$ bound and derivative bound implies $L^p$ bound

Published on 01 Jul 2021 - 13:53

score 78 · Answer 7 · 2021-07-24 14:50:12

78

Views

Best possible inequality for $\int_0^1 (1-x^2)(g(x))^2$

Published on 24 Jul 2021 - 14:50

score 157 · Answer 8 · 2021-07-28 18:26:35

157

Views

If $f(0)=0$ and $f'(x)\in(0,1]\;\;\forall x\in[0,1]$ then $\dfrac{\left(\int_0^1f'(x)dx\right)^2}{\int_0^1(f(x))^3}$ can not take values

Published on 28 Jul 2021 - 18:26

score 211 · Answer 9 · 2026-03-28 10:54:17

211

Views

Good Lower bound on the Beta function

Published on 28 Mar 2026 - 10:54

score 67 · Answer 10 · 2021-08-10 14:04:13

67

Views

Can you always find $\alpha$ such that $\int_{a}^{b} (f(x) - \alpha g(x))^n \,dx < \int_{a}^{b} f(x)^n \,dx$?

Published on 10 Aug 2021 - 14:04

score 156 · Answer 11 · 2021-08-17 00:01:28

156

Views

Integral inequality $\int^{\pi}_{0} f^2(x)dx \le \int^{\pi}_{0} (f')^2(x)dx + (\int^{\pi}_{0} f(x)dx)^2$.

Published on 17 Aug 2021 - 0:01

score 74 · Answer 12 · 2021-08-17 09:04:09

74

Views

Prove integral inequality including n-order derivative

Published on 17 Aug 2021 - 9:04

score 216 · Answer 13 · 2021-08-18 13:14:09

216

Views

Can we prove that $\displaystyle 12 \int_{0}^{1}f^{2}(x)dx\le\int_{0}^{1}(1-x^4)(f''(x)) ^2dx$ if $f''$ is only Riemann integrable?

Published on 18 Aug 2021 - 13:14

score 81 · Answer 14 · 2021-08-23 19:24:06

$\left( \int_{a}^{b} \left( f_1 \circ \cdots \circ f_n \right)(x) dx \right)^n \leq \prod_{j=1}^{n} \left( \int_{a}^{b} |f_j(x)|^n dx \right)$?

score 55 · Answer 15 · 2026-03-25 21:00:05

55

Views

A question about Hermite coefficients

Published on 25 Mar 2026 - 21:00

List Question

proving an integral inequality_

Non-existence of supremum norm bound in terms of $L^2$ norm of gradient

Solution prove an integral-inequality with certain initial condition

Godunova Levin Cebaevskaya Inequality

If $\gamma$ is a circle and $\int_0^{2\pi}y(t) \, dt =0$ then $y(t)=a \sin t + b\cos t$

$L^1$ bound and derivative bound implies $L^p$ bound

Best possible inequality for $\int_0^1 (1-x^2)(g(x))^2$

If $f(0)=0$ and $f'(x)\in(0,1]\;\;\forall x\in[0,1]$ then $\dfrac{\left(\int_0^1f'(x)dx\right)^2}{\int_0^1(f(x))^3}$ can not take values

Good Lower bound on the Beta function

Can you always find $\alpha$ such that $\int_{a}^{b} (f(x) - \alpha g(x))^n \,dx < \int_{a}^{b} f(x)^n \,dx$?

Integral inequality $\int^{\pi}_{0} f^2(x)dx \le \int^{\pi}_{0} (f')^2(x)dx + (\int^{\pi}_{0} f(x)dx)^2$.

Prove integral inequality including n-order derivative

Can we prove that $\displaystyle 12 \int_{0}^{1}f^{2}(x)dx\le\int_{0}^{1}(1-x^4)(f''(x)) ^2dx$ if $f''$ is only Riemann integrable?

$\left( \int_{a}^{b} \left( f_1 \circ \cdots \circ f_n \right)(x) dx \right)^n \leq \prod_{j=1}^{n} \left( \int_{a}^{b} |f_j(x)|^n dx \right)$?

A question about Hermite coefficients

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