Geodesic
Generalizations of some Bernstein-type Inequalities for the Polar Derivative of a Polynomial
Kragujevac Journal of Mathematics, Tome 49 (2025) no. 1, p. 31

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In this paper, we establish some new Bernstein-type bounds for the polar derivative of constrained polynomials on the unit circle in the plane. The obtained results sharpen some known estimates for the ordinary derivative of polynomials as special cases.
Classification : 30A10, 30C10, 30D15
Keywords: polar derivative, Bernstein inequality, zeros 
Abdullah Mir; Adil Hussain. Generalizations of some Bernstein-type Inequalities for the Polar Derivative of a Polynomial. Kragujevac Journal of Mathematics, Tome 49 (2025) no. 1, p. 31 . http://geodesic.mathdoc.fr/item/KJM_2025_49_1_a2/
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     author = {Abdullah Mir and Adil Hussain},
     title = {Generalizations of some {Bernstein-type} {Inequalities} for the {Polar} {Derivative} of a {Polynomial}},
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