Let P (z) be a polynomial of degree n. We consider an operator Dα that maps P (z) into DαP
(z):= nP (z)+(α− z) P0 (z) and establish some results concerning the estimates of 1DαP (z) 1 …

For a polynomial P (z) of degree n having no zeros in| z|< 1, it was recently proved in 9
that\left| z^ s P^\left (s\right)\left (z\right)+ β n\left (n-1\right)...\left (n-s+ 1\right) 2^ s P\left …

Let \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts}
\usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} …

Let P (z) be a polynomial of degree n which does not vanish in| z|< 1| z|< 1. Then it was
proved by Hans and Lal (Anal Math 40: 105–115, 2014) that| z^ s P^(s)+ β n_s 2^ s P …

GENERALIZATION OF ZYGMUND TYPE INEQUALITIES FOR THE sth DERIVATIVE OF
POLYNOMIALS Let Pn be the class of polynomials of degree n Page 1 Available online at …

Let P (z) be a polynomial of degree n. We consider an operator Dα that maps P (z) into DαP
(z):= nP (z)+(α-z) P (z) and establish some results concerning the estimates of| DαP (z)| on …

Some integral inequalities for a polynomial with zeros outside the unit disk Page 1 Acta Univ.
Sapientiae, Mathematica, 13, 2 (2021) 396–412 DOI: 10.2478/ausm-2021-0024 Some …

A Zygmund-type integral inequality for polynomials Page 1 Arab. J. Math. (2020) 9:415–423
https://doi.org/10.1007/s40065-019-0251-y Arabian Journal of Mathematics Abdullah Mir A …

Abstract Let $ P (z) $ be a polynomial of degree n. We consider an operator $ D\alpha $ that
maps $ P (z) $ into $ D\alpha P (z):= nP (z)+(\alpha z) P\prime (z) $ and establish some …

абстрактный Для многочлена P (z) степени п, не имеющего корней в круге z< 1, Деван и
др. 4 установили, что\left| zP'(z)+ π β 2 P (z)\right|\leqslant n 2\left {\left (\left| β 2\right|+\left …