Rational approximations of Lipschitz functions from the Hardy class on the line

DOI10.15393/j3.art.2021.9530zbMath1472.41007OpenAlexW3167746629WikidataQ114052254 ScholiaQ114052254MaRDI QIDQ5006733

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Publication date: 17 August 2021

Published in: Issues of Analysis (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/pa324

zbMATH Keywords

Hilbert transformuniform approximationsimple partial fractionlogarithmic derivative of rational functioninequality between different metrics

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Rate of convergence, degree of approximation (41A25)

Cites Work

• Distribution of the logarithmic derivative of a rational function on the line
• Norm of the Hilbert transformation in a space of Hölder functions
• Approximation by linear fractional transformations of simple partial fractions and their differences
• Quadrature formulas with variable nodes and Jackson-Nikolskii inequalities for rational functions
• Estimates for \(L_p\)-norms of simple partial fractions
• Approximation by simple partial fractions and the Hilbert transform
• ESTIMATES OF THE DISTANCES FROM THE POLES OF LOGARITHMIC DERIVATIVES OF POLYNOMIALS TO LINES AND CIRCLES
• Metric property of a real polynomial
• A note on Hilbert’s operator
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