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Asymptotically ... statistical equivalence of double sequences of sets defined by modulus functions

Authors: Dündar, Erdinç; Pancaroğlu Akın, Nimet;

Asymptotically ... statistical equivalence of double sequences of sets defined by modulus functions

Abstract

Statistical convergence and ideal convergence of real numbers, which are of great importance in the theory of summability, are studied by many mathematicians. Fast (1951) and Schoenberg (1959), independently, introduced the concept of statistical convergence. Mursaleen and Edely (2003) extended this concept to the double sequences. Recently, the statistical convergence has been extended to ideal convergence of real numbers and some important properties about ideal convergence have been investigated by many mathematicians. ...

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Turkey
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Keywords

Invariant Convergence, Modulus Function, Statistical Convergence, Double Sequence, Asymptotic Equivalence

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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).
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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.
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