Cesàro sum
= Cesàro sum
{c}
{title2=$L=\lim_{N\to\infty}\sigma_N$}
The finite <limit of a sequence> of averaged <partial sums> in the declared <Cesàro summation> convention, when that <limit> exists. It can exist when an ordinary sum does not, but every ordinarily convergent <series> has the same <Cesàro sum> as its ordinary sum.