On the best polynomial approximation in Hardy space

DOI10.3103/s1066369x2211007xOpenAlexW4327798732MaRDI QIDQ6132635

Z. Sh. Malakbozov, Mirgand Shabozovich Shabozov

Publication date: 14 July 2023

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x2211007x

zbMATH Keywords

best polynomial approximationgeneralized modulus of continuity\(n\)-widthcharacteristic of smoothness\( \mathcal{K} \)-functional

Mathematics Subject Classification ID

Simultaneous approximation (41A28) Trigonometric polynomials, inequalities, extremal problems (42A05)

Cites Work

• Generalized smoothness characteristics in Jackson-type inequalities and widths of classes of functions in \(L_2\)
• Best approximation and width of some classes of analytic functions
• Best linear approximation methods for functions of Taikov classes in the Hardy spaces \(H_{q,\rho },q \geq 1, 0 < \rho \leq 1\)
• Best approximation in the sense of Kolmogorov of classes of function analytic in the unit disc
• Diameters of certain classes of analytic functions
• Some sharp inequalities in the theory of the approximation of functions.
• Inequalities containing best approximations and the modulus of continuity of functions in \(L_2\)
• Inequalities of Kolmogorov type for analytic functions of one and two complex variables and their applications to approximation theory
• Exact values of widths of classes of analytic functions on the disk and best linear approximation methods
• Best linear methods of approximation and widths of classes of analytic functions in a disk
• On the best linear approximation methods and the widths of certain classes of analytic functions
• Best linear approximation methods for some classes of analytic functions on the unit disk
• Mean approximation of functions on the real axis by algebraic polynomials with Chebyshev-Hermite weight and widths of function classes
• Exact constants in Jackson-type inequalities for approximation of analytic functions from \(H_p^r\) with \(1\leq p\leq 2\)
• Best approximation in the mean of certain classes 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
• Widths of some classes of analytic functions in the Hardy space \(H_2\)
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