{c}
{wiki=Khintchine_inequality}

For independent Rademacher signs $\varepsilon_n$, every $0<p<\infty$ admits constants $A_p,B_p>0$ such that
$$
A_p\left(\sum_n|a_n|^2\right)^{1/2}
\leq\left(\mathbb E\left|\sum_n\varepsilon_na_n\right|^p\right)^{1/p}
\leq B_p\left(\sum_n|a_n|^2\right)^{1/2}.
$$


Khintchine inequality

{wiki=Khintchine_inequality}

The Khintchine inequality is a result in mathematical analysis, particularly in the study of probability theory and functional analysis. It pertains to the properties of sums of independent random variables, specifically regarding their expected values and moments.


 Khintchine inequality

ID: khintchine-inequality