A note on sharpening of the Erdős-Lax inequality concerning polynomials

Gradimir V. Milovanović, Abdullah Mir, Adil Hussain, Abrar Ahmad

In this paper, we establish some upper bound estimates for the modulus of the derivative of a polynomial on the unit disk while taking into account the placement of the zeros and the extremal coefficients of the polynomial. The obtained results sharpen as well as generalize the Erdős-Lax inequality and its extension by Aziz and Dawood and other related inequalities.