On the Smirnov-type inequality for polynomials

DOI10.1134/S0001434622030063zbMath1492.30017OpenAlexW4224597199MaRDI QIDQ2133818

E. G. Kompaneets, Victor V. Starkov

Publication date: 5 May 2022

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434622030063

zbMATH Keywords

zerospolynomialsBernstein inequalitySmirnov inequality

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials and rational functions of one complex variable (30C10)

Related Items (2)

Smirnov's inequality for polynomials having zeros outside the unit disc ⋮ GENERALIZATIONS OF CERTAIN WELL-KNOWN INEQUALITIES FOR RATIONAL FUNCTIONS

Cites Work

• Differential inequalities for algebraic polynomials
• Generalization of the Smirnov operator and differential inequalities for polynomials
• The Möbius transformation and Smirnov's inequality for polynomials
• Variations on a theme of the Marden and Smirnov operators, differential inequalities for polynomials
• INEQUALITIES CONCERNING B-OPERATORS
• Methods of geometric function theory in classical and modern problems for polynomials
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