Statistical Approximation for Periodic Functions of Two Variables
We prove a Korovkin type approximation theorem for a function of two variables by using the notion of statistical summability (C,1,1). We also study the rate of statistical summability (C,1,1) of positive linear operators. Finally we construct an example to show that our result is stronger than thos...
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Veröffentlicht in: | Journal of function spaces 2013-01, Vol.2013 (2013), p.1-5 |
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Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
Online-Zugang: | Volltext |
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Zusammenfassung: | We prove a Korovkin type approximation theorem for a function of two variables by using the notion of statistical summability (C,1,1). We also study the rate of statistical summability (C,1,1) of positive linear operators. Finally we construct an example to show that our result is stronger than those previously proved for Pringsheim's convergence and statistical convergence. |
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ISSN: | 2314-8896 0972-6802 2314-8888 1758-4965 |
DOI: | 10.1155/2013/491768 |