Convergence of iterates of genuine and ultraspherical Durrmeyer operators to the limiting semigroup: \(C^{2}\)-estimates (Q1041633)
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scientific article; zbMATH DE number 5641734
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence of iterates of genuine and ultraspherical Durrmeyer operators to the limiting semigroup: \(C^{2}\)-estimates |
scientific article; zbMATH DE number 5641734 |
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Convergence of iterates of genuine and ultraspherical Durrmeyer operators to the limiting semigroup: \(C^{2}\)-estimates (English)
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3 December 2009
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The authors obtain a general inequality for the degree of approximation of emigroups by iterates of commuting bounded linear operators on Banach spaces. Combining this with a quantitative Voronovskaja-type result, general applications for ultraspherical and genuine Durrmeyer operators are given.
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operators on Banach spaces
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semigroup
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Bernstein-Durrmeyer operators with ultraspherical weights
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degree of approximation
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genuine Bernstein-Durrmeyer operators
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moduli of smoothness
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