Generalization of certain inequalities for a polynomial and its derivative

DOI10.1134/S1995080212010064zbMath1258.30004OpenAlexW2082506558MaRDI QIDQ694480

M. Bidkham, M. Ahmadi Baseri, H. A. Soleiman Mezerji, Ahmad Zireh

Publication date: 12 December 2012

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080212010064

zbMATH Keywords

inequalitiespolynomialsRouche's theoremmaximum modulus

Mathematics Subject Classification ID

Inequalities for trigonometric functions and polynomials (26D05) Polynomials and rational functions of one complex variable (30C10)

Related Items (2)

On the generalizations of polynomial inequalities in the complex domain ⋮ Refinements of some Turán-type inequalities for meromorphic functions

Cites Work

• Growth of polynomials whose zeros are within or outside a circle
• On the Derivative of a Polynomial
• 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

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