Triangular A-Statistical Approximation by Double Sequences of Positive Linear Operators

In the present paper we introduce a new type of statistical convergence for double sequences called triangular A -statistical convergence and we show that triangular A -statistical convergence and A -statistical convergence overlap, neither contains the other. Also, we give a Korovkin-type approxima...

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Veröffentlicht in:Resultate der Mathematik 2015-11, Vol.68 (3-4), p.271-291
Hauptverfasser: Bardaro, C., Boccuto, A., Demirci, K., Mantellini, I., Orhan, S.
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Sprache:eng
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Zusammenfassung:In the present paper we introduce a new type of statistical convergence for double sequences called triangular A -statistical convergence and we show that triangular A -statistical convergence and A -statistical convergence overlap, neither contains the other. Also, we give a Korovkin-type approximation theorem using this new type of convergence. Finally we give some further developments.
ISSN:1422-6383
1420-9012
DOI:10.1007/s00025-015-0433-7