Cesaro mean (source code)

= Cesaro mean
{c}
{title2=$\frac1n\sum_{k=1}^n a_k$}

= Cesaro average
{c}
{synonym}

The Cesaro mean of the first $n$ terms of a sequence is their arithmetic average. If $a_n\to L$, then its Cesaro means also tend to $L$.