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Applied Mathematics Letters
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Applied Mathematics Letters
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Conditions for convergence and subsequential convergence

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 2006 English Publisher:Elsevier BVJournal:Applied Mathematics Letters, volume 19, pages 1,042-1,045 (issn: 0893-9659, Copyright policy )
Authors: Çanak, İbrahim; Dik, Mehmet; Dik, Filiz;

doi: 10.1016/j.aml.2005.11.015

Conditions for convergence and subsequential convergence

Abstract

AbstractLet (un) be a sequence, regularly generated by another sequence (αn) where either (αn) or (Δαn)=(αn−αn−1) is slowly oscillating. We investigate conditions under which the sequence (un) converges or converges subsequentially.

Related Organizations
Keywords

Slowly oscillating sequences, Moderately oscillatory sequences, Applied Mathematics, Moderately divergent sequences, Subsequentially convergent sequences, Regularly generated sequences

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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!
3
Average
Average
Average
hybrid