K functionals and best polynomial approximation in weighted \(L^ p(R)\) (Q1084591): Difference between revisions
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scientific article | scientific article; zbMATH DE number 3979671 | ||
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| Property / author: Vilmos Totik / rank | |||
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| Property / author: Vilmos Totik / rank | |||
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| Property / full work available at URL: https://doi.org/10.1016/0021-9045(86)90084-5 / rank | |||
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| Property / OpenAlex ID: W2019081085 / rank | |||
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| Property / cites work: On Markov-Bernstein-type inequalities and their applications / rank | |||
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| Property / cites work: Weighted polynomial approximation / rank | |||
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Latest revision as of 14:02, 15 July 2025
scientific article; zbMATH DE number 3979671
| Language | Label | Description | Also known as |
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| English | K functionals and best polynomial approximation in weighted \(L^ p(R)\) |
scientific article; zbMATH DE number 3979671 |
Statements
K functionals and best polynomial approximation in weighted \(L^ p(R)\) (English)
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1986
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A new modulus of smoothness is considered. This modulus has some advantages over that of \textit{G. Freud} and \textit{H. N. Mhaskar} [Ark. Mat. 21, 145-161 (1983; Zbl 0536.41005)]. The equivalence of this modulus of smoothness and K functionals is shown and the characterization problem mentioned by \textit{H. N. Mhaskar} [J. Approximation Theory 46, 100-110 (1986)] is solved.
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modulus of smoothness
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