On Picard iterative properties of the Bernstein operators and an application to fuzzy numbers (Q1014153)
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scientific article; zbMATH DE number 5547383
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Picard iterative properties of the Bernstein operators and an application to fuzzy numbers |
scientific article; zbMATH DE number 5547383 |
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On Picard iterative properties of the Bernstein operators and an application to fuzzy numbers (English)
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24 April 2009
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\textit{L.\,D'Apuzzo} [Ann.\ Istit.\ Univ.\ Navale Napoli 45/46, 123--138 (1976/77; Zbl 1176.47054)] studied the notions of good and special convergence of the successive approximations of an operator on a metric space. The authors extend these studies to Bernstein operators, introducing the concept of dual monotone convergence. An application to the structure of the set of L-R fuzzy numbers with continuous graph is given.
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Picard operator
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monotone iteration
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Bernstein operator
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good convergence
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special convergence
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L-R fuzzy number
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