Inequalities for the derivative of a polynomial

DOI10.1007/BF02867257zbMath0905.30001OpenAlexW2093979627MaRDI QIDQ5904094

Abdul Aziz, Nisar Ahmad Rather

Publication date: 2 February 1999

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02867257

zbMATH Keywords

inequalities for polynomial

Mathematics Subject Classification ID

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

Related Items (13)

On the Erdős-Lax inequality concerning polynomials ⋮ Estimates for the polar derivative of a constrained polynomial on a disk ⋮ On the Erdős-Lax and Turán inequalities concerning polynomials ⋮ Inequalities of Erdős-Lax-type for a complex polynomial ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Extremal problems for a polynomial and its polar derivative ⋮ Sharpening of Erdős-Lax inequality for polynomials ⋮ On the Erdös-Lax inequality and its various generalizations concerning polynomials ⋮ Unnamed Item ⋮ On some results of M. A. Malik concerning polynomials ⋮ Some lower bounds for the derivative of certain polynomials ⋮ Bernstein and Turán-type inequalities for a polynomial with constraints on its zeros

Cites Work

• Comment on the representation of splines as Boolean sums
• A new proof of Laguerre's theorem about the zeros of polynomials
• Simple Proof of a Theorem of Erdos and Lax
• Inequalities of A. Markoff and S. Bernstein for polynomials and related functions
• Proof of a conjecture of P. Erdös on the derivative of a polynomial
• Inequalities for the polar derivative of a polynomial

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