Bernstein-type inequalities for the derivatives of rational functions in $L\_\{p\}$-spaces, $0<p<1$, on Lavrent{’}ev curves

DOI10.1090/S1061-0022-05-00864-2zbMath1072.30028OpenAlexW1870638652MaRDI QIDQ3022468

A. A. Pekarskii

Publication date: 29 June 2005

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-05-00864-2

zbMATH Keywords

rational functionSmirnov spaceBernstein-type inequalities

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

Related Items (1)

Conjugate functions on the closed interval and their relationship with uniform rational and piecewise polynomial approximations

Cites Work

• Inequalities for rational functions
• Opérateurs intégraux singuliers sur certaines courbes du plan complexe
• Several integral estimates of the derivatives of rational functions on sets of finite density
• Hardy spaces, $A_\infty$, and singular integrals on chord-arc domains
• Bernstein type inequalities for derivatives of rational functions in $ L_p$ spaces for $ p<1$
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