Approximation of analytical functions by sequences of \(k\)-positive linear operators (Q979042)
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scientific article; zbMATH DE number 5726587
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation of analytical functions by sequences of \(k\)-positive linear operators |
scientific article; zbMATH DE number 5726587 |
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Approximation of analytical functions by sequences of \(k\)-positive linear operators (English)
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25 June 2010
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The paper deals with the study on approximation properties of sequence of \(k\)-positive operators acting in the space of analytical functions and preserving the cone of functions with non-negative Taylor's coefficients. Some general theorems are established which are valid in the space of functions that are analytical in a bounded simply connected domain.
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\(k\)-positive linear operators
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Korovkin-type theorem
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weighted spaces
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Frechet-type space
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