Approximation of some classes of functions by Landau type operators (Q2034855)
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scientific article; zbMATH DE number 7362278
| Language | Label | Description | Also known as |
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| English | Approximation of some classes of functions by Landau type operators |
scientific article; zbMATH DE number 7362278 |
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Approximation of some classes of functions by Landau type operators (English)
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23 June 2021
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A strongly rooted part of approximation theory is the approximation of various signals by linear and positive operators. Over time, many mathematicians have begun to generalize and modify classical processes of this type, that provides a deeper study of them. This paper studies a class of integral linear and positive operators of Landau type which have affine functions as fixed points focusing to reveal approximation properties both in \(L_p\) spaces and in weighted \(L_p\) spaces \((1\le p<\infty)\). They also give an extension of the operators to approximate real-valued vector functions.
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Landau operator
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weighted space
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Korovkin theorem
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modulus of smoothness
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