Certain Bernstein-type $L_p$ inequalities for polynomials

N. A. Rather, Aijaz Bhat, Suhail Guzlar

Let $P(z)$ be a polynomial of degree $n,$ then it is known that for $\hat{I}\pm \in \mathbb{C}$ with $|\hat{I}\pm |\le \frac{n}{2},$ \begin{align*} \underset{|z|=1}{\max}|\left|zP^{\prime}(z)-αP(z)…