Approximation of bounded variation functions by a Bézier variant of the Bleimann, Butzer, and Hahn operators (Q884229)
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scientific article; zbMATH DE number 5164023
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation of bounded variation functions by a Bézier variant of the Bleimann, Butzer, and Hahn operators |
scientific article; zbMATH DE number 5164023 |
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Approximation of bounded variation functions by a Bézier variant of the Bleimann, Butzer, and Hahn operators (English)
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13 June 2007
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The authors investigate the rate of convergence of the Bézier variant of Bleimann, Butzer, and Hahn operators on bounded variation functions. They give a sharp estimate which improves the results established by \textit{H. M. Srivastava} and \textit{V. Gupta} [Appl. Math. Lett. 18, No. 8, 849--857 (2005; Zbl 1084.41010)] and \textit{J. de la Cal} and \textit{V. Gupta} [J. Inequal. Pure Appl. Math. 6, No. 1, Paper No. 4 (2005; Zbl 1085.41016)].
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positive linear operators
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rate of convergence
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