On a refinement of Turán's inequality

DOI10.1007/s40627-020-00058-5zbMath1460.26024OpenAlexW3040020436MaRDI QIDQ830770

N. E. Zubov

Publication date: 7 May 2021

Published in: Complex Analysis and its Synergies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40627-020-00058-5

zbMATH Keywords

inequalitiespolynomialsrefinement

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) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (8)

INEQUALITIES PERTAINING TO RATIONAL FUNCTIONS WITH PRESCRIBED POLES ⋮ Sharpening of Bernstein and Turán-type inequalities for polynomials ⋮ Inequalities for rational functions with prescribed poles ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Some lower bounds for the derivative of certain polynomials ⋮ Inequalities for the derivative of polynomials with restricted zeros ⋮ Generalizations and sharpenings of certain Bernstein and Turán types of inequalities for the polar derivative of a polynomial

Cites Work

• Some Zygmund type \(L^q\) inequalities for polynomials.
• Inequalities for the Derivative of a Polynomial
• A refinement of a theorem of Paul Turan concerning polynomials
• On the Derivative of a Polynomial
• On sharpening of an inequality of Turán
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