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Generalized Bernstein polynomials with Pollaczek weight - MaRDI portal

Generalized Bernstein polynomials with Pollaczek weight (Q1034073)

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scientific article; zbMATH DE number 5629214
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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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