On the best polynomial approximation of functions in the Hardy space 𝐻𝑞,𝑅, (1 ⩽ 𝑞 ⩽ ∞, 𝑅 ⩾ 1)

DOI10.22405/2226-8383-2023-24-1-182-193MaRDI QIDQ6194095

Mirgand Shabozovich Shabozov, Gulzorkhon Amirshoevich Yusupov

Publication date: 14 February 2024

Published in: Chebyshevskii Sbornik (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/cheb1289

zbMATH Keywords

Hardy spacemodulus of continuitywidthsbest approximationmajorizing function

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Approximation by polynomials (41A10)

Cites Work

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• Best approximation in the sense of Kolmogorov of classes of function analytic in the unit disc
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• Exact values of widths of classes of analytic functions on the disk and best linear approximation methods
• \(n\)-widths, Faber expansion, and computation of analytic functions
• Diameters of certain classes of functions analytic in the unit disc. I
• On diameters of certain classes of functions analytic in the unit disc. II
• The widths of classes of analytic functions in a disc
• On some extremal problems of approximation theory in the complex plane
• Widths of Hardy classes and Bergman classes on the ball in $ \mathbb{C}^n$
• Widths of some classes of analytic functions in the Hardy space \(H_2\)

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