Iterates of Bernstein type operators on a square with one curved side via contraction principle (Q2871102)
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scientific article; zbMATH DE number 6248839
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Iterates of Bernstein type operators on a square with one curved side via contraction principle |
scientific article; zbMATH DE number 6248839 |
Statements
22 January 2014
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weakly Picard operators
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iterated Bernstein-type operators
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square with curved side
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contraction principle
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convergence
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0.92147315
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0.91494167
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0.91114503
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0.8818358
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Iterates of Bernstein type operators on a square with one curved side via contraction principle (English)
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The paper under review is especially a continuation of one by \textit{P. Blaga} et al. [Stud. Univ. Babeş-Bolyai, Math. 55, No. 3, 51--68 (2010; Zbl 1224.41001)]. The authors consider some Bernstein-type operators as well as their iterates, their product and Boolean sum operators defined on a square with one curved side. For functions defined on a square with one curved side, they obtain convergence results using the techniques of the weakly Picard operators and the contraction principle.
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