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Istanbul Ticaret University Institutional Repository
Article . 2016
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Subseries of a monotone P-divergent double series

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2016 United States, Turkey English Publisher:Universitatii Al.I.Cuza din Iasi
Authors: Patterson, Richard F.; Savas, Ekrem;

handle: 11467/3688

Subseries of a monotone P-divergent double series

Abstract

This paper present the following general characterization of P -divergency of double subseries. Let (Im, Jn) be a Pringsheim increasing double sequence of distance positive order pair of integers, and let ?dm,n be a monotone P-divergent double series. A necessary and sufficient condition for the P -divergence of the subseries ?dIm,Jn is thatImm andJnn are bounded. © 2016, Universitatii Al.I.Cuza din Iasi. All rights reserved.

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United States, Turkey
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Keywords

P –convergent, P –convergent, RH-regular, Pringsheim limit point, Double sequence

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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!
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