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On generalized absolute Cesaro summability factors

On generalized absolute Cesàro summability factors
Authors: Tuncer, Adive Nihal;

On generalized absolute Cesaro summability factors

Abstract

Summary: Using \(\delta\)-quasi-monotone and any almost increasing sequences we prove a theorem on \(|C,\alpha,\beta;\delta|_k\) summability factors of infinite series, which generalizes a theorem of \textit{S. M. Mazhar} [Indian J. Pure Appl. Math. 8, 784-790 (1977; Zbl 0373.42001)] on \(|C,1|_k\) summability factors.

Country
Turkey
Keywords

Convergence factors and summability factors, Applied Mathematics, infinite series, Absolute and strong summability, Hölder's inequality, almost increasing, Special methods of summability, quasi-monotone sequence, Discrete Mathematics and Combinatorics, Analysis, summability factors, quasi-monotone 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!
5
Average
Top 10%
Average
Green
gold