Question

How to prove that there exists a constant C such that $\max |f|^{2} \le C \int \left ( |f'|^{2} + f^{2} \right ) dx$?

score 201 · Answer 1 · 2016-08-05 21:53:41

201

Views

How to prove that there exists a constant C such that $\max |f|^{2} \le C \int \left ( |f'|^{2} + f^{2} \right ) dx$?

Published on 05 Aug 2016 - 21:53

score 95 · Answer 2 · 2016-08-10 20:25:41

95

Views

Equivalent inequalities

Published on 10 Aug 2016 - 20:25

score 32 · Answer 3 · 2016-08-18 16:46:33

32

Views

Unsure of an inequality and a certain step in a proof that shows $\Vert f \ast K_\delta - f \Vert_p \to 0 \ \text{as} \ \delta \to 0$?

Published on 18 Aug 2016 - 16:46

score 218 · Answer 4 · 2016-08-21 17:32:08

218

Views

Prove $(\langle x^4\rangle-\langle x^2\rangle^2)(\langle x^2\rangle-\langle x\rangle^2)>(\langle x^3\rangle-\langle x^2\rangle\langle x\rangle)^2$

Published on 21 Aug 2016 - 17:32

score 186 · Answer 5 · 2016-08-24 01:50:18

186

Views

Proving $\left\| \int_a^b f(x) \,dx\right\| \leq \int_a^b \| f(x) \|\, dx,$ for $f = (f_1,f_2,\dots,f_n):[a,b] \to \mathbb{R}^n$

Published on 24 Aug 2016 - 1:50

score 4.2k · Answer 6 · 2016-08-27 10:12:46

4.2k

Views

Proof of Gronwall inequality

Published on 27 Aug 2016 - 10:12

score 322 · Answer 7 · 2016-09-02 20:06:22

322

Views

Normal distribution inequality related to the monotone likelihood ratio property

Published on 02 Sep 2016 - 20:06

score 563 · Answer 8 · 2016-09-21 14:20:08

563

Views

Question on a proof of Wirtinger's Inequality

Published on 21 Sep 2016 - 14:20

score 53 · Answer 9 · 2016-09-23 20:17:33

53

Views

An(other) integral inequality

Published on 23 Sep 2016 - 20:17

score 2.7k · Answer 10 · 2016-09-24 20:14:07

2.7k

Views

Find the maximum $p$ such that $2x^4y^2 + 9y^4z^2 + 12z^4x^2 - px^2y^2z^2$ is always nonnegative for all $x$, $y$, and $z$ real.

Published on 24 Sep 2016 - 20:14

score 2.7k · Answer 11 · 2026-03-25 21:54:08

2.7k

Views

Prove that $\sqrt{ \frac{2x^2 - 2x + 1}{2} } \geq \frac{1}{x + \frac{1}{x}}$ for $0 < x < 1.$

Published on 25 Mar 2026 - 21:54

score 102 · Answer 12 · 2016-10-03 09:40:01

102

Views

Prove that $a + b + c + a^2 + b^2 + c^2 \leq4$ given that $a,b,c\geq-1$ and $a^3 + b^3 + c^3=1$

Published on 03 Oct 2016 - 9:40

score 163 · Answer 13 · 2016-10-08 17:48:47

163

Views

Is it true that $(\int f)^2 \le \int f^2$, $e^{\int f} \le \int e^f$?

Published on 08 Oct 2016 - 17:48

score 244 · Answer 14 · 2016-10-18 11:01:01

244

Views

Inequality involving exponential integral

Published on 18 Oct 2016 - 11:01

score 31 · Answer 15 · 2016-10-23 06:17:36

31

Views

norm of the differences of two definite integrals

Published on 23 Oct 2016 - 6:17

List Question

How to prove that there exists a constant C such that $\max |f|^{2} \le C \int \left ( |f'|^{2} + f^{2} \right ) dx$?

Equivalent inequalities

Unsure of an inequality and a certain step in a proof that shows $\Vert f \ast K_\delta - f \Vert_p \to 0 \ \text{as} \ \delta \to 0$?

Prove $(\langle x^4\rangle-\langle x^2\rangle^2)(\langle x^2\rangle-\langle x\rangle^2)>(\langle x^3\rangle-\langle x^2\rangle\langle x\rangle)^2$

Proving $\left\| \int_a^b f(x) \,dx\right\| \leq \int_a^b \| f(x) \|\, dx,$ for $f = (f_1,f_2,\dots,f_n):[a,b] \to \mathbb{R}^n$

Proof of Gronwall inequality

Normal distribution inequality related to the monotone likelihood ratio property

Question on a proof of Wirtinger's Inequality

An(other) integral inequality

Find the maximum $p$ such that $2x^4y^2 + 9y^4z^2 + 12z^4x^2 - px^2y^2z^2$ is always nonnegative for all $x$, $y$, and $z$ real.

Prove that $\sqrt{ \frac{2x^2 - 2x + 1}{2} } \geq \frac{1}{x + \frac{1}{x}}$ for $0 < x < 1.$

Prove that $a + b + c + a^2 + b^2 + c^2 \leq4$ given that $a,b,c\geq-1$ and $a^3 + b^3 + c^3=1$

Is it true that $(\int f)^2 \le \int f^2$, $e^{\int f} \le \int e^f$?

Inequality involving exponential integral

norm of the differences of two definite integrals

Trending Questions

Popular # Hahtags

Popular Questions