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Tamkang Journal of Mathematics
Article . 1994 . Peer-reviewed
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Tamkang Journal of Mathematics
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Article . 1993
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Proceedings of the American Mathematical Society
Article . 1993 . Peer-reviewed
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Proceedings of the American Mathematical Society
Article . 1993 . Peer-reviewed
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Relations on some Summability Methods

Relations on some summability methods
Authors: Sulaiman, W. T.;

Relations on some Summability Methods

Abstract

In this paper we prove a new result connecting the summability methods | N ¯ , p n | k |\overline N ,{p_n}{|_k} with either | N , q n | k |N,{q_n}{|_k} or | N , ¯ w n | k |\overline {N,} {w_n}{|_k} for given sequences { p n } , { q n } \{ {p_n}\} ,\,\{ {q_n}\} , and { w n } \{ {w_n}\} of positive real constants. Several results, some of them known, are deduced.

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Keywords

Matrix methods for summability, Cesàro, Euler, Nörlund and Hausdorff methods, summability methods, absolutely summable series, Cesàro mean, Special methods of summability, \(\varphi - | C, \alpha |_ k\) summability, infinite series, Absolute and strong summability

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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
Top 10%
Average
gold