Approximation for periodic functions via statistical \(A\)-summability (Q2913249)

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scientific article; zbMATH DE number 6086822
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Approximation for periodic functions via statistical \(A\)-summability
scientific article; zbMATH DE number 6086822

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    26 September 2012
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    statistical convergence
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    statistical \(A\)-summability
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    positive linear operator
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    Korovkin type approximation theorem
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    Fejér operators
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    Approximation for periodic functions via statistical \(A\)-summability (English)
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    Using the concept of statistical \(A\)-summability, the authors obtain Korovkin type approximation results for sequences of positive linear operators on the space of \(2\pi \)-periodic, continuous functions on \(\mathbb R\). The test functions are \(1, \cos x, \sin x\). Rates of convergence are also investigated.
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