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 |
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Hauptverfasser: | , , , , |
Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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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. |
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ISSN: | 1422-6383 1420-9012 |
DOI: | 10.1007/s00025-015-0433-7 |