Question

proving an integral inequality_

score 148 · Answer 1 · 2026-04-10 18:06:46

148

Views

proving an integral inequality_

Published on 10 Apr 2026 - 18:06

score 236 · Answer 2 · 2026-04-10 16:46:14

236

Views

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

Published on 10 Apr 2026 - 16:46

score 108 · Answer 3 · 2026-04-14 20:06:17

108

Views

Solution prove an integral-inequality with certain initial condition

Published on 14 Apr 2026 - 20:06

score 91 · Answer 4 · 2026-04-13 22:40:28

91

Views

Godunova Levin Cebaevskaya Inequality

Published on 13 Apr 2026 - 22:40

score 109 · Answer 5 · 2026-04-16 04:27:59

109

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 16 Apr 2026 - 4:27

score 64 · Answer 6 · 2026-04-16 05:50:48

64

Views

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

Published on 16 Apr 2026 - 5:50

score 81 · Answer 7 · 2026-04-15 08:17:23

81

Views

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

Published on 15 Apr 2026 - 8:17

score 160 · Answer 8 · 2026-04-15 19:44:00

160

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 15 Apr 2026 - 19:44

score 213 · Answer 9 · 2026-04-16 11:18:46

213

Views

Good Lower bound on the Beta function

Published on 16 Apr 2026 - 11:18

score 70 · Answer 10 · 2026-04-16 15:08:11

70

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 16 Apr 2026 - 15:08

score 159 · Answer 11 · 2026-04-16 08:36:55

159

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 16 Apr 2026 - 8:36

score 77 · Answer 12 · 2026-04-16 20:48:04

77

Views

Prove integral inequality including n-order derivative

Published on 16 Apr 2026 - 20:48

score 219 · Answer 13 · 2026-04-16 07:40:49

219

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 16 Apr 2026 - 7:40

score 84 · Answer 14 · 2026-04-18 11:37:09

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

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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