Question

A problem of definite integral inequality?

score 118 · Answer 1 · 2026-04-08 21:40:33

118

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A problem of definite integral inequality?

Published on 08 Apr 2026 - 21:40

score 114 · Answer 2 · 2026-04-14 15:25:00

114

Views

Prove that $\int |\nabla u||\nabla v|+|u||v|\leq |u|_{H^1}|v|_{H^1}$

Published on 14 Apr 2026 - 15:25

score 243 · Answer 3 · 2026-04-13 17:29:45

243

Views

Weak Bernstein inequality for trigonometric polynomials

Published on 13 Apr 2026 - 17:29

score 56 · Answer 4 · 2026-04-15 20:22:16

56

Views

Integral Inequality from unit interval to reals with $f$ and $f'$

Published on 15 Apr 2026 - 20:22

score 72 · Answer 5 · 2026-04-12 03:34:54

72

Views

From one to double integral inequality

Published on 12 Apr 2026 - 3:34

score 89 · Answer 6 · 2026-04-15 12:57:14

89

Views

How to show $\int_{\Omega}|\phi|^2\leq c\sum_{i=1}^{n}\int_{\Omega}|\frac{\partial \phi}{\partial x_i}|^2$

Published on 15 Apr 2026 - 12:57

score 108 · Answer 7 · 2026-04-17 11:05:46

108

Views

Show that $|a|\leq \int_{-1}^{1}\,|ax+b|\,\text{d}x$

Published on 17 Apr 2026 - 11:05

score 72 · Answer 8 · 2026-04-13 08:04:27

72

Views

Existence of constant for a "Minkowski-like" inequality to hold on $L_p$ $p<1$.

Published on 13 Apr 2026 - 8:04

score 275 · Answer 9 · 2026-04-16 17:14:44

275

Views

Prove that $\int_0^1\left|f\left(x\right)\right|^2\text{d}x\le\frac12\int_0^1\left(1-x^2\right)\left|f'\left(x\right)\right|^2\text{d}x$.

Published on 16 Apr 2026 - 17:14

score 850 · Answer 10 · 2026-04-15 07:46:19

850

Views

Prove that $1<\int_{0}^{\frac{\pi}{2}}\sqrt{\sin x}dx<\sqrt{\frac{\pi}{2}}$using integration.

Published on 15 Apr 2026 - 7:46

score 2.1k · Answer 11 · 2026-04-15 03:10:20

2.1k

Views

Inequality releating squared absolute value of an integral to the integral of the squared absolute values of the integrand

Published on 15 Apr 2026 - 3:10

score 84 · Answer 12 · 2026-04-16 12:33:45

84

Views

Rewrite order of $\int_0^1\int_0^{\sqrt{y}} \int_y^1 \, dz \, dx \, dy$ to $dx\,dy\,dz$ and $dy\,dz\,dx$

Published on 16 Apr 2026 - 12:33

score 107 · Answer 13 · 2026-04-10 03:14:20

107

Views

Dominance between two functions

Published on 10 Apr 2026 - 3:14

score 421 · Answer 14 · 2026-04-15 08:26:34

421

Views

Inequality: product of integrals

Published on 15 Apr 2026 - 8:26

score 62 · Answer 15 · 2026-04-16 17:13:07

62

Views

Prove or disprove this inequality

Published on 16 Apr 2026 - 17:13

List Question

A problem of definite integral inequality?

Prove that $\int |\nabla u||\nabla v|+|u||v|\leq |u|_{H^1}|v|_{H^1}$

Weak Bernstein inequality for trigonometric polynomials

Integral Inequality from unit interval to reals with $f$ and $f'$

From one to double integral inequality

How to show $\int_{\Omega}|\phi|^2\leq c\sum_{i=1}^{n}\int_{\Omega}|\frac{\partial \phi}{\partial x_i}|^2$

Show that $|a|\leq \int_{-1}^{1}\,|ax+b|\,\text{d}x$

Existence of constant for a "Minkowski-like" inequality to hold on $L_p$ $p<1$.

Prove that $\int_0^1\left|f\left(x\right)\right|^2\text{d}x\le\frac12\int_0^1\left(1-x^2\right)\left|f'\left(x\right)\right|^2\text{d}x$.

Prove that $1<\int_{0}^{\frac{\pi}{2}}\sqrt{\sin x}dx<\sqrt{\frac{\pi}{2}}$using integration.

Inequality releating squared absolute value of an integral to the integral of the squared absolute values of the integrand

Rewrite order of $\int_0^1\int_0^{\sqrt{y}} \int_y^1 \, dz \, dx \, dy$ to $dx\,dy\,dz$ and $dy\,dz\,dx$

Dominance between two functions

Inequality: product of integrals

Prove or disprove this inequality

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