Optimal quadrature of Hp functions

DOI10.1007/BF01182779zbMath0422.65013MaRDI QIDQ1133879

Jan-Erik Anderson

Publication date: 1980

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172944

zbMATH Keywords

Blaschke productscomplex rational approximationoptimal quadrature

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Approximation in the complex plane (30E10) Approximation by rational functions (41A20) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items

Rational approximation to functions like \(x^{\alpha}\) in integral norms, An approximation of \(| \sin \,x|\) by rational Fourier series, Optimal quadrature algorithms in \(H_ p\) spaces, A note on the optimal quadrature in \(H^ p\)

Cites Work

• Optimal convergence of minimum norm approximations in \(H_p\)
• Quadrature formulae for \(H^p\) functions
• Optimal numerical quadrature in \(H_p\) spaces
• Rational approximation in the complex plane and on the line
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