Cesáro summation

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Cesáro summation

[chā′zä·rō sə′mā·shən]
(mathematics)
A method of attaching sums to certain divergent sequences and series by taking averages of the first n terms and passing to the limit.
References in periodicals archive ?
We also show that if two double series are boundedly convergent, then the Cauchy product double series is Cesaro summable and its Cesaro sum is equal to the product of the sums of the given double series.
In that event, the above limit is called the Cesaro sum of the double series.
D student of Muckenhoupt, proved a theorem on the boundedness of the first Cesaro sum [[sigma].