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Approximation for periodic functions via statistical A-summability

Author(s): S. Karakuş | K. Demirci

Journal: Acta Mathematica Universitatis Comenianae
ISSN 0862-9544

Volume: LXXXI;
Issue: 2;
Start page: 159;
Date: 2012;
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Keywords: Statistical convergence | statistical A-summability | positive linear operator | Korovkin type approximation theorem | Fejé r operators

In this paper, using the concept of statistical A-summability which isstronger than the A-statistical convergence we prove a Korovkin typeapproximation theorem for sequences of positive linear operator defined onC*(p) which is the space of all p-periodic and continuousfunctions on R, the set of all real numbers. We also compute the rates of statistical A-summability of sequence of positive linear operators.
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