On an operator preserving inequalities between polynomials

N. A. Rather, Suhail Gulzar

Let ${\mathcal{P}}_n$ denote the space of all complex polynomials $P(z)={\sum }_{j=0}^n{a}_j{z}^j$ of degree $n$ and ${\mathcal{B}}_n$ a family of operators that maps ${\mathcal{P}}_n$…