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) no. 1
Cet article a éte moissonné depuis 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.
@article{BASS_2020_45_1_a3,
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 - 66},
year = {2020},
volume = {45},
number = {1},
url = {http://geodesic.mathdoc.fr/item/BASS_2020_45_1_a3/}
}
TY - JOUR AU - Gradimir V. Milovanović AU - Abdullah Mir AU - Adil Hussain AU - Abrar Ahmad TI - A note on sharpening of the Erdős-Lax inequality concerning polynomials JO - Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles PY - 2020 SP - 57 EP - 66 VL - 45 IS - 1 UR - http://geodesic.mathdoc.fr/item/BASS_2020_45_1_a3/ ID - BASS_2020_45_1_a3 ER -
%0 Journal Article %A Gradimir V. Milovanović %A Abdullah Mir %A Adil Hussain %A Abrar Ahmad %T A note on sharpening of the Erdős-Lax inequality concerning polynomials %J Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles %D 2020 %P 57 - 66 %V 45 %N 1 %U http://geodesic.mathdoc.fr/item/BASS_2020_45_1_a3/ %F BASS_2020_45_1_a3
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) no. 1. http://geodesic.mathdoc.fr/item/BASS_2020_45_1_a3/