Distortion theorems for polynomials on a circle

DOI10.1070/SM2000v191n12ABEH000528zbMath1010.30004OpenAlexW2051775014MaRDI QIDQ2736053

V. N. Dubinin

Publication date: 28 August 2001

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

Full work available at URL: https://doi.org/10.1070/sm2000v191n12abeh000528

Mathematics Subject Classification ID

Capacity and harmonic measure in the complex plane (30C85) Polynomials and rational functions of one complex variable (30C10) Inequalities in the complex plane (30A10)

Related Items (14)

Some Extensions of a Theorem of Paul Turán Concerning Polynomials ⋮ Sharpening of Bernstein and Turán-type inequalities for polynomials ⋮ Refinement of some Bernstein type inequalities for rational functions ⋮ Inequalities for rational functions with prescribed poles ⋮ Refinements of some polynomial inequalities with restricted zeros ⋮ Sharpening of Turán type inequalities for polar derivative of a polynomial ⋮ Refinements of some inequalities concerning the polar derivative of a polynomial ⋮ Conformal mappings and inequalities for algebraic polynomials. II ⋮ Comparison inequalities between rational functions with prescribed poles ⋮ Unnamed Item ⋮ Some applications of Dubinin's lemma to rational functions with prescribed poles ⋮ On polynomials and rational functions normalized on circular arcs ⋮ Some remarks on rotation theorems for complex polynomials ⋮ Generalizations and sharpenings of certain Bernstein and Turán types of inequalities for the polar derivative of a polynomial

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