N. A. Rather

collaborators

2 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 $I^\pm \in C$ with $∣ I^\pm ∣ \leq \frac{n}{2},$ \begin{align*} \underset{|z|=1}{\max}|\left|zP^{\prime}(z)-Î±P(z)…

On Visser's inequality concerning coefficient estimates for a polynomial

Certain Bernstein-type Lp​ inequalities for polynomials

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