N. A. Rather

most citedInequalities for the polar derivative of a polynomial

3 citations · 3 across the 3 of their papers we have counts for

collaborators

3 papers

math.CV2024

On Visser's inequality concerning coefficient estimates for a polynomial

Suhail Gulzar, N. A. Rather, M. S Wani

If $P (z) = \sum_{j = 0}^{n} a_{j} z^{j}$ is a polynomial of degree $n$ having no zero in $∣ z ∣ < 1,$ then it was recently proved that for every $p \in [0, + \infty]$ and $s = 0, 1, \dots, n - 1,$ \begin{…

math.CV2024

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 $α \in C$ with $∣ α ∣ \leq \frac{n}{2},$ \begin{align*} \underset{|z|=1}{\max}|\left|zP^{\prime}(z)-αP(z)\ri…

math.CV2013★ 3 cited

Inequalities for the polar derivative of a polynomial

N. A. Rather, Suhail Gulzar

Let $P (z)$ be a polynomial of degree $n$ and for any real or complex number $α,$ let $D_{α} P (z) = n P (z) + (α - z) P^{'} (z)$ denote the polar derivative with respect to $α .$ In this…

On Visser's inequality concerning coefficient estimates for a polynomial

Certain Bernstein-type Lp​ inequalities for polynomials

Inequalities for the polar derivative of a polynomial

Certain Bernstein-type $L_{p}$ inequalities for polynomials