Wirtinger inequality
= Wirtinger inequality
{c}
{wiki}
For $f(0)=f(T)=0$,
$$
\int_0^T|f'|^2dt\geq\frac{\pi^2}{T^2}\int_0^T|f|^2dt,
$$
with equality for a multiple of $\sin(\pi t/T)$.
= Wirtinger inequality
{c}
{wiki}
For $f(0)=f(T)=0$,
$$
\int_0^T|f'|^2dt\geq\frac{\pi^2}{T^2}\int_0^T|f|^2dt,
$$
with equality for a multiple of $\sin(\pi t/T)$.