Voronoi means, moving averages, and power series
  We introduce a {\it non-regular} generalisation of the N\"{o}rlund mean, and show its equivalence with a certain moving average. The Abelian and Tauberian theorems establish relations with convergent sequences and certain power series. A strong law of large numbers is also proved. 
N. H. Bingham and Bujar Gashi
math.CA