On some rational functions that are analogs of the Chebyshev polynomials

DOI10.1007/s10958-015-2411-8zbMath1355.30001OpenAlexW753978851MaRDI QIDQ280895

Sergeĭ Ivanovich Kalmykov

Publication date: 10 May 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-015-2411-8

zbMATH Keywords

Chebyshev polynomialsrational functionsweighted Bernstein-type inequalities

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Inequalities in the complex plane (30A10)

Related Items (1)

About multipoint distortion theorems for rational functions

Cites Work

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• An extended relation between orthogonal rational functions on the unit circle and the interval \([ - 1,1\)]
• Inequalities for Rational Functions With Prescribed Poles
• Chebyshev Polynomials and Markov-Bernstein Type Inequalities for Rational Spaces
• Inequalities for derivatives of rational functions on several intervals
• On an application of conformal maps to inequalities for rational functions
• A majoration principle for meromorphic functions

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