K-FUNCTIONALS AND EXACT VALUES OF n-WIDTHS IN THE BERGMAN SPACE

DOI10.15826/umj.2017.2.010zbMath1436.41017OpenAlexW2777292948MaRDI QIDQ5239763

M. S. Saidusainov

Publication date: 22 October 2019

Published in: Ural mathematical journal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/cheb467

zbMATH Keywords

\(n\)-widthsmodule of smoothnessbest linear method

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation in the complex plane (30E10) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46) Approximation by arbitrary linear expressions (41A45)

Related Items (5)

Three extremal problems in the Hardy and Bergman spaces of functions analytic in a disk ⋮ K-FUNCTIONALS AND EXACT VALUES OF n-WIDTHS IN THE BERGMAN SPACE ⋮ Approximation of functions of a complex variable by Fourier sums in orthogonal systems in \(L_2\) ⋮ Mean-square approximation of complex variable functions by Fourier series in the weighted Bergman space ⋮ \(K\)-functionals and extreme problems of the approximation theory for classes of analytic functions in a circle. I

Cites Work

• The best linear methods and values of widths for some classes of analytic functions in the Bergman weight space
• The \(N\)-widths of Hardy-Sobolev spaces of several complex variables
• Best linear methods of approximation and widths of classes of analytic functions in a disk
• On the best approximation and exact evaluation of the widths of some classes of functions in the Bergman space \(B_{p}\), \(1 \leq p \leq \infty\)
• 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$
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