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  • Author or Editor: Fadime Dirik x
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In this study, using the concept of

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-statistical convergence for sequence of infinite matrices
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= (
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i ) with
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i = ( bnk ( i )) 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. Also we study the rates of
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-statistical convergence of approximating positive linear operators.

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In the present work, using the concept of A -statistical convergence for double real sequences, we obtain a statistical approximation theorem for sequences of positive linear operators defined on the space of all real valued B -continuous functions on a compact subset of the real line. Furthermore, we display an application which shows that our new result is stronger than its classical version.

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