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Approximation for periodic functions via statistical A-summability

Keywords: Statistical convergence, statistical A-summability, positive linear operator, Korovkin type approximation theorem, Fejér operators.

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Abstract:

In this paper, using the concept of statistical A-summability which is stronger than the A-statistical convergence we prove a Korovkin type approximation theorem for sequences of positive linear operator defined on C*(p) which is the space of all p-periodic and continuous functions 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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