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单词 Cesàro summation
释义

Cesàro summation

A means of summing series which generalizes the usual definition of convergence. Given a series inline then define inline. The Cesàro sum of the series is S if inline. If a series is convergent to S, then its Cesàro sum is also S, but some divergent series have Cesàro sums; for example, 1−1 + 1−1 + … has a Cesàro sum of ½. The Abel sum generalizes the Cesàro sum still further.

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更新时间:2025/4/29 21:39:35