A new estimate on the rate of convergence of Durrmeyer--Bézier operators (Q1035525)
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scientific article; zbMATH DE number 5624570
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new estimate on the rate of convergence of Durrmeyer--Bézier operators |
scientific article; zbMATH DE number 5624570 |
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A new estimate on the rate of convergence of Durrmeyer--Bézier operators (English)
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3 November 2009
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The article is concerned with the Durrmeyer--Bézier operators introduced by \textit{X.-M. Zeng} and \textit{W. Chen} [J. Approximation Theory 102, No. 1, 1--12 (2000; Zbl 0956.41013)]. For functions of bounded variation the authors obtain a new estimate of the rate of convergence, which improves the corresponding result given by Zeng and Chen. The proofs are based on probabilistic methods and inequality techniques.
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Durrmeyer--Bézier operators
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rate of convergence
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0.94344246
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0.9387999
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0.92800695
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