Comparison inequalities between rational functions with prescribed poles

DOI10.1007/S13398-021-01023-5zbMath1475.30004OpenAlexW3139530527WikidataQ115058610 ScholiaQ115058610MaRDI QIDQ1979354

Abdullah Mir, Gradimir V. Milovanović

Publication date: 2 September 2021

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-021-01023-5

zbMATH Keywords

polynomialsrational functionsprescribed polesBernstein-inequality

Mathematics Subject Classification ID

Polynomials and rational functions of one complex variable (30C10) Inequalities in the complex plane (30A10)

Related Items (1)

Generalizations of some inequalities for rational functions with prescribed poles and restricted zeros

Cites Work

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• Distortion theorems for polynomials on a circle
• A comparison inequality for rational functions
• On a theorem of Ankeny and Rivlin concerning maximum modulus of polynomials
• Bernstein-Type Inequalities for Rational Functions with Prescribed Poles
• Inequalities for a polynomial and its derivative
• On the derivative of a polynomial
• Inequalities for a polynomial and its derivative

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