Geodesic
A note on sharpening of the Erdős-Lax inequality concerning polynomials
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 45 (2020), p. 57 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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.
Classification : 30A10, 30C10, 30C15
Keywords: Bernstein-type inequalities, Extremal coefficients, Erdős-Lax inequality 
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     author = {Gradimir V. Milovanovi\'c and Abdullah Mir and Adil Hussain and Abrar Ahmad},
     title = {A note on sharpening of the {Erd\H{o}s-Lax}  inequality concerning polynomials},
     journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
     pages = {57 },
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     volume = {45},
     year = {2020},
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Gradimir V. Milovanović; Abdullah Mir; Adil Hussain; Abrar Ahmad. A note on sharpening of the Erdős-Lax  inequality concerning polynomials. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 45 (2020), p. 57 . http://geodesic.mathdoc.fr/item/BASS_2020_45_a3/