\(A\)-statistical Korovkin type approximation theorem for functions of two variables on an infinite interval (Q2913263)

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scientific article; zbMATH DE number 6086834
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\(A\)-statistical Korovkin type approximation theorem for functions of two variables on an infinite interval
scientific article; zbMATH DE number 6086834

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    26 September 2012
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    \(A\)-statistical convergence of double sequences
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    positive linear operator
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    Korovkin theorem
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    Baskakov operator
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    \(A\)-statistical Korovkin type approximation theorem for functions of two variables on an infinite interval (English)
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    The authors consider positive linear operators on the space of all real-valued continuous functions on \([0,\infty)\times [0,\infty)\) having a finite limit at infinity. Korovkin-type approximation properties are investigated, using the test functions \(1, e^{-x}, e^{-y}, e^{-2x}+e^{-2y}\), and the concept of \(A\)-statistical convergence.
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