@article{Mir_2017, title={On an operator preserving inequalities between polynomials}, volume={69}, url={http://umj.imath.kiev.ua/index.php/umj/article/view/1758}, abstractNote={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 results concerning the estimates of $| D\alpha P(z)| $ on the disk $| z| = R \geq 1$, and thereby obtain extensions
and generalizations of a number of well-known polynomial inequalities.}, number={8}, journal={Ukrainsâ€™kyi Matematychnyi Zhurnal}, author={MirA.}, year={2017}, month={Aug.}, pages={1061-1072} }