Rational approximation to functions like \(x^{\alpha}\) in integral norms

DOI10.1007/BF02350637zbMath0653.41020OpenAlexW2314099291MaRDI QIDQ1107763

Jan-Erik Andersson

Publication date: 1988

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02350637

zbMATH Keywords

Hardy spaceHahn-Banach theoremoptimal quadrature\(H^ p\)-functiondegree of rational approximation

Mathematics Subject Classification ID

Approximation by rational functions (41A20) (H^p)-spaces (42B30)

Related Items (10)

Best uniform rational approximation of \(x^ \alpha\) on \([0,1\).] ⋮ Unnamed Item ⋮ Two- and multi-phase quadrature surfaces ⋮ On estimates of uniform approximations by rational Fourier-Chebyshev integral operators for a certain choice of poles ⋮ Approximation to the function \(z^\alpha\) by rational fractions in a domain with zero external angle ⋮ On rational approximation of Markov functions by partial sums of Fourier series on a Chebyshev-Markov system ⋮ Discrete-time systems with frequency response of the Markov-Stieltjes type ⋮ Rational approximations of functions of Markov-Stieltjes type in Hardy spaces \(H^p\), \(0 < p \leq \infty\) ⋮ Uniform approximations of Stieltjes functions by orthogonal projection on the set of rational functions ⋮ The Markov–Stieltjes transform on Hardy and Lebesgue spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A note on the optimal quadrature in \(H^ p\)
• Optimal quadrature of Hp functions
• Rational approximation to \(x^\alpha\) on \([0,1\)]
• On the existence of optimal quadrature formulae for smooth functions
• Quadrature formulae for \(H^p\) functions
• The decomposition of Walsh and Fourier series
• Rational approximation in the complex plane and on the line

This page was built for publication: Rational approximation to functions like \(x^{\alpha}\) in integral norms