In mathematical analysis, Cesàro summation is an alternative means of assigning a sum to an infinite series. If the series converges in the usual sense to a sum , then the series is also Cesàro summable and has Cesàro sum . The significance of Cesàro summation is that a series which diverges may still have a well-defined Cesàro sum.

Cesàro summation is named for the Italian analyst Ernesto Cesàro (1859-1906).

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