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Article . 2017 . Peer-reviewed
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Fundamental properties of statistical convergence and lacunary statistical convergence on time scales

Authors: Turan, Ceylan; Duman, Oktay;

Fundamental properties of statistical convergence and lacunary statistical convergence on time scales

Abstract

In this paper, we first obtain a Tauberian condition for statistical convergence on time scales. We also find necessary and sufficient conditions for the equivalence of statistical convergence and lacunary statistical convergence on time scales. Some significant applications are also presented.

Keywords

density, Real analysis on time scales or measure chains, time scales, Summability methods using statistical convergence, Density, lacunary statistical convergence, statistical convergence, Ideal and statistical convergence

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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!
14
Top 10%
Top 10%
Top 10%
Green
gold