Approximation for periodic functions via statistical σ−convergence

نویسندگان

  • Kamil Demirci
  • Fadime Dirik
چکیده

In this study, using the concept of statistical σ−convergence which is stronger than convergence and statistical convergence we prove a Korovkin-type approximation theorem for sequences of positive linear operators defined on C∗ which is the space of all 2π-periodic and continuous functions on R, the set of all real numbers. We also study the rates of statistical σ−convergence of approximating positive linear operators. AMS subject classifications: 41A25, 41A36,47B38

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تاریخ انتشار 2011