On the rate of convergence of the generalized Szász type operators for functions of bounded variation (Q1272869)
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scientific article; zbMATH DE number 1228546
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the rate of convergence of the generalized Szász type operators for functions of bounded variation |
scientific article; zbMATH DE number 1228546 |
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On the rate of convergence of the generalized Szász type operators for functions of bounded variation (English)
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21 June 1999
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Similarly to a Bézier-type modification of Bernstein polynomials introduced in 1983 by G. Chang, the author introduces the Szász-Bézier operator as a modification of the classical Szász-Mirakyan operator. The rate of convergence of the Szász-Bézier operator in the class of functions of bounded variation is then studied. The author proves that his estimates are, in a certain sense, optimal.
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approximation by positive linear operators
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rate of convergence
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modifications of Szász-Mirakyan operators
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bernstein polynomials
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Szász-Bézier operator
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Szász-Mirakyan operator
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