Geodesic
Rational approximations of Lipschitz functions from the Hardy class on the line
Problemy analiza, Tome 10 (2021) no. 2, pp. 54-66.

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We study a rate of uniform approximations on the real line of summable Lipschitz functions $f$ having a summable Hilbert transform $Hf$ by normalized logarithmic derivatives of rational functions. Inequalities between different metrics of the logarithmic derivatives of algebraic polynomials on the line are also considered.
Keywords: logarithmic derivative of a rational function, simple partial fraction, uniform approximation, inequality between different metrics.
Mots-clés : Hilbert transform 
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M. A. Komarov. Rational approximations of Lipschitz functions from the Hardy class on the line. Problemy analiza, Tome 10 (2021) no. 2, pp. 54-66. http://geodesic.mathdoc.fr/item/PA_2021_10_2_a4/

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