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Annali di Matematica Pura ed Applicata (1923 -)
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Annali di Matematica Pura ed Applicata (1923 -)
Article . 1971 . Peer-reviewed
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Mapping properties of matrix summability methods

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1971 English Publisher:Springer Science and Business Media LLCJournal:Annali di Matematica Pura ed Applicata, volume 88, pages 1-8 (issn: 0373-3114, eissn: 1618-1891, Copyright policy )
Authors: Dawson, David F.;

doi: 10.1007/bf02415056

Mapping properties of matrix summability methods

Abstract

Conditions on a complex matrix A are given which are necessary and sufficient for A to have the property that if x belongs to the complex linear space generated by the set of all convergent real sequences having nonnegative kth differences, then Ax belongs to the complex linear space generated by the set of all convergent real sequences having nonnegative jth differences.

Keywords

Matrix methods for summability, Cesàro, Euler, Nörlund and Hausdorff methods

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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!
4
Average
Top 10%
Average
bronze