Mean-square approximation of complex variable functions by Fourier series in the weighted Bergman space

DOI10.23671/VNC.2018.1.11400zbMath1451.30077MaRDI QIDQ4970038

M. S. Saidusainov, Mirgand Shabozovich Shabozov

Publication date: 14 October 2020

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

Full work available at URL: http://mathnet.ru/eng/vmj644

zbMATH Keywords

weighted Bergman spaceapproximation by polynomials

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Polynomials and rational functions of one complex variable (30C10) Bergman spaces and Fock spaces (30H20)

Related Items (4)

Approximation by classical orthogonal polynomials with weight in spaces \(L_{2, \gamma }(a,b)\) and widths of some functional classes ⋮ On the best approximation in the mean of functions of a complex variable by Fourier series in the Bergman space ⋮ Approximation of functions of a complex variable by Fourier sums in orthogonal systems in \(L_2\) ⋮ Sharp inequalities between the best root-mean-square approximations of analytic functions in the disk and some smoothness characteristics in the Bergman space

Cites Work

• On the best approximation of some classes of analytic functions in weighted Bergman spaces
• On the best linear methods of approximation and the exact values of widths for some classes of analytic functions in the weighted Bergman space
• On the best approximation and exact evaluation of the widths of some classes of functions in the Bergman space \(B_{p}\), \(1 \leq p \leq \infty\)
• Sharp estimates for the convergence rate of Fourier series of complex variable functions in L 2(D, p(z))
• The widths of classes of analytic functions in a disc
• K-FUNCTIONALS AND EXACT VALUES OF n-WIDTHS IN THE BERGMAN SPACE
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