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On the best approximation of functions analytic in the disk in the weighted Bergman space \(\mathcal{B}_{2,\mu} \) - MaRDI portal

On the best approximation of functions analytic in the disk in the weighted Bergman space \(\mathcal{B}_{2,\mu} \) (Q6638450)

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scientific article; zbMATH DE number 7944488
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On the best approximation of functions analytic in the disk in the weighted Bergman space \(\mathcal{B}_{2,\mu} \)
scientific article; zbMATH DE number 7944488

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    On the best approximation of functions analytic in the disk in the weighted Bergman space \(\mathcal{B}_{2,\mu} \) (English)
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    14 November 2024
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    In this paper the author continues the study of best polynomial approximations and widths of some classes of analytic functions in weighted Bergman spaces (see, e.g., [M. R. Langarshoev, Vestn. Ross. Univ., Mat. 28, No. 142, 182--192 (2023; Zbl 1538.30147)]).
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    best polynomial approximation
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    \(m\)th-order modulus of continuity
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    Bergman weighted space
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    width
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