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On Absolute Summability Factors

On absolute summability factors
Authors: Bor, Hüseyin;

On Absolute Summability Factors

Abstract

By using for \delta ≥ 0 so-called |\bar{N}, p_n; \delta |_k -boundedness of series \sum^{\infty}_{n=1} a_n and sequences (\lambda _n)^{\infty}_{n=1} we prove | \bar{N}, p_n; \delta |_k -summability of the series \sum^{\infty}_{n=1} a_n \lambda _n . This result generalizes a known one related to |\bar{N}, p_n |_k -summability of series.

Related Organizations
Keywords

Convergence factors and summability factors, Cesàro, Euler, Nörlund and Hausdorff methods, absolute summability factors, Special methods of summability, sequences, absolute summability, series, infinite series, Absolute and strong summability, summability factors

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    selected citations
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    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).
    15
    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.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
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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!
15
Top 10%
Top 10%
Average
bronze