Approximation by polynomials and rational functions in weighted rearrangement invariant spaces (Q936608)
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scientific article; zbMATH DE number 5313901
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation by polynomials and rational functions in weighted rearrangement invariant spaces |
scientific article; zbMATH DE number 5313901 |
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Approximation by polynomials and rational functions in weighted rearrangement invariant spaces (English)
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19 August 2008
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The authors investigate some direct and inverse theorems of approximation theory by algebraic polynomials and rational functions in the weighted rearrangement invariant Simirnov spaces using the Poisson integral and the Boyd interpolation theorem based on Cauchy's singular integral and its boundary values.
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Dini-smooth curve
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Banach function space
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modulus of smoothness
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constructive characterization
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Cauchy's singular integral
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Poisson integral
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Boyd interpolation theorem
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