On an application of conformal maps to inequalities for rational functions

DOI10.1070/IM2002v066n02ABEH000379zbMath1023.30010OpenAlexW1977357562MaRDI QIDQ4804396

V. N. Dubinin

Publication date: 30 September 2003

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im2002v066n02abeh000379

zbMATH Keywords

Bernstein-type inequalityinequality for Blaschke productsTurán inequality for polynomials

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Polynomials and rational functions of one complex variable (30C10)

Related Items (7)

On some rational functions that are analogs of the Chebyshev polynomials ⋮ Generalized harmonic functions and Schwarz lemma for biharmonic mappings ⋮ About multipoint distortion theorems for rational functions ⋮ Some inequalities for rational functions with fixed poles ⋮ Some estimates for the derivatives of rational functions ⋮ Some remarks on rotation theorems for complex polynomials ⋮ Sharp inequalities for rational functions on a circle

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