On Bernstein-Type Inequalities for Rational Functions with Prescribed Poles

DOI10.46793/KgJMat2104.615MzbMath1499.30008OpenAlexW3193971952MaRDI QIDQ5035224

Abdullah Mir

Publication date: 21 February 2022

Published in: Kragujevac Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://elib.mi.sanu.ac.rs/files/journals/kjm/66/9_eng.html

zbMATH Keywords

zerosrational functionpolynomialpoles

Mathematics Subject Classification ID

Polynomials and rational functions of one complex variable (30C10) Special classes of entire functions of one complex variable and growth estimates (30D15) Inequalities in the complex plane (30A10)

Cites Work

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• Bernstein type inequalities for rational functions
• Sharp constants in V. A. Markov-Bernstein type inequalities of different metrics
• Higher Markov and Bernstein inequalities and fast decreasing polynomials with prescribed zeros
• Bernstein- and Markov-type inequalities for rational functions
• On sharp constants in Bernstein-Nikolskii inequalities
• A comparison inequality for rational functions
• Bernstein-Type Inequalities for Rational Functions with Prescribed Poles
• On the Derivative of a Polynomial
• Proof of a conjecture of P. Erdös on the derivative of a polynomial
• Inequalities for a polynomial and its derivative

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