On the best simultaneous approximation in the Bergman space \(B_2\)

DOI10.1134/s0001434623090080zbMath1529.30039OpenAlexW4387911866MaRDI QIDQ6084897

Mirgand Shabozovich Shabozov

Publication date: 7 November 2023

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434623090080

zbMATH Keywords

Bergman spacesimultaneous approximation of functions and their derivatives

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Bergman spaces and Fock spaces (30H20)

Cites Work

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• Best approximation methods and widths for some classes of functions in \(H_{q,\rho}\), \(1 \leq q\leq\infty\), \(0 < \rho\leq 1\)
• A sharp inequality of Jackson-Stechkin type in \(L_{2}\) and the widths of functional classes
• Best approximation in the sense of Kolmogorov of classes of function analytic in the unit disc
• Diameters of certain classes of analytic 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
• Best linear methods of approximation and widths of classes of analytic functions in a disk
• Jackson-Stechkin type inequalities for special moduli of continuity and widths of function classes in the space \(L_2\)
• 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
• Best approximation in the mean of certain classes of analytic functions
• Diameters of certain classes of functions analytic in the unit disc. I
• Widths of some classes of analytic functions in the Hardy space \(H_2\)
• Zeros of functions in the Bergman spaces

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