On the Best Polynomial Approximation of Functions in the Weight Bergman Space

DOI10.23671/VNC.2019.1.27732zbMath1463.30179OpenAlexW3188832930MaRDI QIDQ4970078

M. R. Langarshoev

Publication date: 14 October 2020

Published in: Владикавказский математический журнал (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vmj682

zbMATH Keywords

modulus of continuitymodulus of smoothnessbest approximationpolynomial\(n\)-widths

Mathematics Subject Classification ID

Approximation in the complex plane (30E10)

Cites Work

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• On the best approximation of some classes of analytic functions in weighted Bergman spaces
• 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
• The \(n\)-width of the unit ball of \(H^ p\)
• The widths of classes of analytic functions in a disc
• DIAMETERS OF SETS IN FUNCTION SPACES AND THE THEORY OF BEST APPROXIMATIONS
• 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$

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