What can be said about the approximation of $S ( \alpha )$ by $\widetilde { S } _ { n , 2 p } ( \alpha )$ when, with $n$ fixed, $p$ tends to $+ \infty$ ? For the numerical calculation of $S ( \alpha )$, how should one choose $n$ and $p$ ?
What can be said about the approximation of $S ( \alpha )$ by $\widetilde { S } _ { n , 2 p } ( \alpha )$ when, with $n$ fixed, $p$ tends to $+ \infty$ ? For the numerical calculation of $S ( \alpha )$, how should one choose $n$ and $p$ ?