Inequalities for polynomials not vanishing in a disk

DOI10.1016/J.AMC.2011.01.077zbMath1239.30001OpenAlexW2050817898MaRDI QIDQ648240

Wali Mohammad Shah, Ram N. Mohapatra, Abdul Liman

Publication date: 22 November 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.01.077

zbMATH Keywords

zerospolynomialsinequalities in the complex domain

Mathematics Subject Classification ID

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

Related Items (6)

Bernstein-type inequalities involving polar derivative of a polynomial ⋮ Some upper bound estimates for the maximal modulus of the polar derivative of a polynomial ⋮ Inequalities for a polynomial and its derivative ⋮ Refinement of some inequalities concerning to \(B_n\)-operator of polynomials with restricted zeros ⋮ Some \(L^p\) inequalities for polynomials not vanishing inside a circle ⋮ The Möbius transformation and Smirnov's inequality for polynomials

Cites Work

• Inequalities for a polynomial and its derivative
• Some Compact Generalizations of Bernstein-type Inequalities for Polynomials
• Proof of a conjecture of P. Erdös on the derivative of a polynomial
• On a theorem of S. Bernstein
• Inequalities for a polynomial and its derivative
• Inequalities for a polynomial and its derivative
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