Abstract
In this paper, we establish some inequalities for the complex polynomial. Our results constitute generalizations and refinements of some well-known polynomial inequalities.
Highlights
In this paper, we generalize the above inequality for the polynomials of type P (z) =
1 ≤ μ < n, be a polynomial of degree at most n having no zeros in |z| < k, k ≤ 1, and Q(z) = znP (1/z), it is proved by Dewan et al [5] that if |P ′(z)| and |Q′(z)| becomes maximum at the same point on |z| = 1, max |P ′(z)|
We generalize the above inequality for the polynomials of type P (z) =
Summary
1 ≤ μ < n, be a polynomial of degree at most n having no zeros in |z| < k, k ≤ 1, and Q(z) = znP (1/z), it is proved by Dewan et al [5] that if |P ′(z)| and |Q′(z)| becomes maximum at the same point on |z| = 1, max |P ′(z)| 1 ≤ μ < n that having no zeros in |z| < k, k ≤ 1, if |P ′(z)| and |Q′(z)| becomes maximum at the same point on |z| = 1, max |P ′(z)| 1 ≤ μ < n that having all its zeros on |z| = k, k ≤ 1, Dewan [5] proved max |P ′(z)|
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