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Polynomial operators for one-sided approximation to functions in \(W^r_p [0,1]\) - MaRDI portal

Polynomial operators for one-sided approximation to functions in \(W^r_p [0,1]\) (Q432411)

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scientific article; zbMATH DE number 6052875
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Polynomial operators for one-sided approximation to functions in \(W^r_p [0,1]\)
scientific article; zbMATH DE number 6052875

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    Polynomial operators for one-sided approximation to functions in \(W^r_p [0,1]\) (English)
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    4 July 2012
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    Some operators for one-sided approximation of differentiable functions by algebraic polynomials in \(L_p\) spaces are presented. The estimates for the error of approximation are given with an explicit constant. The approximation of differentiable functions is considered in this paper. The approximation of nondifferentiable functions will be considered in another paper.
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    one-sided approximation
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    operators for one-sided approximation
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    polynomial operators
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