Question

On the inequality $ \int_{-\infty}^{+\infty}\frac{(p'(x))^2}{(p'(x))^2+(p(x))^2}\,dx \le n^{3/2}\pi.$

score 1.1k · Answer 1 · 2015-04-18 16:27:41

1.1k

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On the inequality $ \int_{-\infty}^{+\infty}\frac{(p'(x))^2}{(p'(x))^2+(p(x))^2}\,dx \le n^{3/2}\pi.$

Published on 18 Apr 2015 - 16:27

score 85 · Answer 2 · 2015-04-24 16:25:29

85

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score 353 · Answer 3 · 2015-05-02 09:18:32

353

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score 127 · Answer 13 · 2015-05-26 22:12:58

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score 345 · Answer 14 · 2015-06-02 18:32:28

345

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463

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List Question

On the inequality $ \int_{-\infty}^{+\infty}\frac{(p'(x))^2}{(p'(x))^2+(p(x))^2}\,dx \le n^{3/2}\pi.$

How can I prove this inequality? $(a^2+1)(b^2+1)>a(b^2+1)+b(a^2+1)$

Explain this inequality, related to logarithms

An integral inequality involving increasing function

Sobolev/Lebesgue norm estimates in $\mathbb{R}^3$

Estimate the integral of $(1+x^2)^{-\alpha}$, where $\alpha>1/2$

Can we show this inequality? (PDE question)

Integral Inequality Proof Using Hölder's inequality

I need a function for the following equality

Struggling to prove inequality

Seeking a More Elegant Proof to an Expectation Inequality

Bound on the integral of a function with multiple zeros

How prove this inequaliy $\sup_{x \in [a, b]} |f(x)| \leq \frac{1}{b-a} \int_{a}^{b} |f(t)| dt + \int_{a}^{b} |f'(t)| dt $

Easier ways to prove $\int_0^1 \frac{\log^2 x-2}{x^x}dx<0$

A bound on the $\mathrm{L}^p$ norm in terms of the $\mathrm{L}^2$ norm in periodic Sobolev spaces

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