Bernstein and Turán-type inequalities for a polynomial with constraints on its zeros

DOI10.1007/s13398-021-01061-zzbMath1469.30001OpenAlexW3164825518MaRDI QIDQ2037035

Daniel Breaz, Abdullah Mir

Publication date: 30 June 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/s13398-021-01061-z

zbMATH Keywords

zerosRouché's theorempolar derivativepolynomial

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)

Related Items (8)

Estimates for the polar derivative of a constrained polynomial on a disk ⋮ Inequalities of Erdős-Lax-type for a complex polynomial ⋮ A note on the Erdös-Lax inequality concerning polynomials ⋮ Extremal problems of Turán-type involving the location of all zeros of a polynomial ⋮ On the Erdös-Lax inequality and its various generalizations concerning polynomials ⋮ Unnamed Item ⋮ On the inequalities of Turán, Bernstein and Erdős-Lax in quaternionic setting ⋮ Unnamed Item

Cites Work

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