\(A\)-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
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(A\)-statistical Korovkin type approximation theorem for functions of two variables on an infinite interval |
scientific article; zbMATH DE number 6086834 |
Statements
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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0.9583174
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0.95225054
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0.94139636
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0.93643546
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0.9281942
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0.9251354
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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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