Optimal information for approximating periodic analytic functions

DOI10.1090/S0025-5718-97-00896-XzbMath0891.65022OpenAlexW2062323925MaRDI QIDQ4372636

Klaus Wilderotter, Konstantin Yu. Osipenko

Publication date: 16 December 1997

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-97-00896-x

zbMATH Keywords

Fourier coefficientsoptimal informationoptimal recoveryperiodic analytic functionsperiodic Blaschke products

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Numerical methods for trigonometric approximation and interpolation (65T40) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items

Comparison theorems of Kolmogorov type and exact values of 𝑛-widths on Hardy–Sobolev classes ⋮ Optimal recovery of the derivative of periodic analytic functions from Hardy classes

Cites Work

• The n-width of sets of analytic functions
• Best approximation of analytic functions from information about their values at a finite number of points
• On \(N\)-widths of holomorphic functions of several variables
• Optimal sampling of periodic analytic functions
• Optimal sampling of holomorphic functions. II
• Optimal Sampling of Holomorphic Functions
• Onn-widths of bounded periodic holomorphic functions
• ON $ n$-WIDTHS, OPTIMAL QUADRATURE FORMULAS, AND OPTIMAL RECOVERY OF FUNCTIONS ANALYTIC IN A STRIP
• Exact \(n\)-widths of Hardy-Sobolev classes
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