Common
Cesàro summation
Modified summation method applicable to some divergent series
Cesàro summation
In mathematical analysis, Cesàro summation assigns values to some infinite sums that are not necessarily convergent in the usual sense. The Cesàro sum, also known as the Cesàro mean or Cesàro limit, is defined as the limit, as n tends to infinity, of the sequence of arithmetic means of the first n partial sums of the series. This special case of a matrix summability method is named for the Italian analyst Ernesto Cesàro (1859–1906).
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