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 ?
Maddox, A new type of Cesaro mean, Analysis, 9 (1989), no.
Cesaro mean distribution of group automata starting from measures with summable decay.
This classical theorem states that for 2[pi]-periodic continuous functions f (x) the sequence of Cesaro means {[[sigma].
alpha]] the n-th Cesaro means of order [alpha], with [alpha] > -1, of the sequence ([s.
n] the nth Cesaro means of order ([alpha], [beta]), with [alpha] + [beta] > -1, of the sequence ([s.
To the best of our knowledge, there is no such general theory governing the higher order Cesaro means for orthogonal polynomial expansions.
MARKETT, On approximation by Cesaro means of Laguerre expansion and best approximation, Resultate der Mathematik, 2 (1979), 124-150.