Generalized Bernstein polynomials with Pollaczek weight (Q1034073)
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scientific article; zbMATH DE number 5629214
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalized Bernstein polynomials with Pollaczek weight |
scientific article; zbMATH DE number 5629214 |
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Generalized Bernstein polynomials with Pollaczek weight (English)
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10 November 2009
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Bernstein polynomials are a useful tool for approximating functions. The authors extend the applicability of these operators to a class of locally continuous functions. They consider a Pollaczek weight, which is rapidly decaying at the end points of the interval. The corresponding moduli of smoothness and K functionals are introduced to establish convergence theorems and error estimations.
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Bernstein polynomials
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K-functionals
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locally continuous functions
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