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Annales de l’institut Fourier
Article . 1996 . Peer-reviewed
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Necessary and sufficient conditions for matrix summability methods to be stronger than multisummability

Authors: Balser, Werner; Beck, Andreas;

Necessary and sufficient conditions for matrix summability methods to be stronger than multisummability

Abstract

For general matrix summability methods, we find necessary and sufficient conditions for such methods to be stronger than multisummability. In a second part we show the existence of power series which are not multisummable but can be summed by a matrix method satisfying the conditions mentioned above

Keywords

multisummability, matrix methods, Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc., general matrix summability methods, power series, Inclusion and equivalence theorems in summability theory

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
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