Exact values of widths of classes of analytic functions on the disk and best linear approximation methods

DOI10.1023/A:1021496620022zbMath1130.41302MaRDI QIDQ1810237

S. B. Vakarchuk

Publication date: 15 June 2003

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

zbMATH Keywords

Hardy spacemodulus of continuityanalytic functions on the unit diskGelfand-Kolmogorovinformational \(n\)-width of classes of functions

Mathematics Subject Classification ID

Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (8)

On the best linear methods of approximation and the exact values of widths for some classes of analytic functions in the weighted Bergman space ⋮ Best linear approximation methods for some classes of analytic functions on the unit disk ⋮ The best approximation and the values of the widths of some classes of analytical functions in the weighted Bergman space B_(2,γ) ⋮ On the best polynomial approximation in Hardy space ⋮ On the best polynomial approximation of functions in the Hardy space 𝐻𝑞,𝑅, (1 ⩽ 𝑞 ⩽ ∞, 𝑅 ⩾ 1) ⋮ Estimates of the values of \(n\)-widths of classes of analytic functions in the weight spaces \(H_{2,\gamma}(D)\) ⋮ Best approximation methods and widths for some classes of functions in \(H_{q,\rho}\), \(1 \leq q\leq\infty\), \(0 < \rho\leq 1\) ⋮ \(K\)-functionals and extreme problems of the approximation theory for classes of analytic functions in a circle. I

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