On the best linear methods of approximation and the exact values of widths for some classes of analytic functions in the weighted Bergman space

DOI10.1007/s11253-016-1171-zzbMath1386.30040OpenAlexW2402013314MaRDI QIDQ1684596

M. R. Langarshoev

Publication date: 11 December 2017

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

Full work available at URL: https://doi.org/10.1007/s11253-016-1171-z

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation in the complex plane (30E10) Rate of convergence, degree of approximation (41A25) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46) Approximation by arbitrary linear expressions (41A45) Bergman spaces and Fock spaces (30H20)

Related Items (2)

Best linear approximation methods for some classes of analytic functions on the unit disk ⋮ Mean-square approximation of complex variable functions by Fourier series in the weighted Bergman space

Cites Work

• The best linear methods and values of widths for some classes of analytic functions in the Bergman weight space
• On the best approximation of some classes of analytic functions in weighted Bergman spaces
• On widths of classes of analytic functions on the disk in weight Banach spaces
• Widths of certain classes of analytic functions in the Hardy space \(H_ 2\)
• Best linear approximation methods for functions of Taikov classes in the Hardy spaces \(H_{q,\rho },q \geq 1, 0 < \rho \leq 1\)
• The \(n\)-width of the unit ball of \(H^ p\)
• 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
• On some extremal problems of approximation theory in the complex plane
• Widths of some classes of analytic functions in the Hardy space \(H_2\)
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