Absolute Cesàro summability

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A sequence or series is said to be absolutely summable by a given matrix summation method if the sequence or series obtained by the transformation involved is absolutely convergent. See Absolute summability.

Thus, one has absolute Cesàro summability, absolute Euler summability, absolute Nörlund summability, absolute Riesz summability, absolute Voronoi summability (which is the same as absolute Nörlund summability), and, more generally, absolute matrix summability.

See also Cesàro summation methods; Riesz summation method; Summation methods; Voronoi summation method; Matrix summation method.


[a1] C.H. Moore, "Summable series and convergence factors" , Dover, reprint (1966)
How to Cite This Entry:
Absolute Cesàro summability. M. Hazewinkel (originator), Encyclopedia of Mathematics. URL:
This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098