On the best linear approximation methods and the widths of certain classes of analytic functions

DOI10.1007/BF02679811zbMath0951.41014MaRDI QIDQ1966187

Yanyan Li

Publication date: 18 December 2000

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

zbMATH Keywords

Hardy spacelinearGelfandKolmogorovBernstein \(n\)-widthslinear approximation of analytic functions

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Rate of convergence, degree of approximation (41A25) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (7)

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 ⋮ On the best simultaneous approximation of functions in the Bergman space \(B_2\) ⋮ On the best simultaneous approximation in the Bergman space \(B_2\) ⋮ On the best polynomial approximation in Hardy space ⋮ 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

Cites Work

• On some approximation properties of real Hardy spaces \((0<p\leq 1)\)
• The \(n\)-width of the unit ball of \(H^ p\)
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