Approximation of analytical functions by \(k\)-positive linear operators in the closed domain (Q740816)
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scientific article; zbMATH DE number 6341765
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation of analytical functions by \(k\)-positive linear operators in the closed domain |
scientific article; zbMATH DE number 6341765 |
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Approximation of analytical functions by \(k\)-positive linear operators in the closed domain (English)
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9 September 2014
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The present work treats the problem of convergence for the sequences of linear \(k\)-positive operators on a space of functions that are analytic in a closed domain. By convergence in this space, authors mean a uniform convergence in a closed domain that contains the original domain strictly inside itself, while the linear \(k\)-positive operators are naturally associated with Faber polynomials related to the considered domain.
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linear \(k\)-positive operators
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Faber polynomials
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conformal mapping
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analytic functions
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statistical approximation
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Korovkin type theorem
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