Bernstein-type inequalities for complex polynomials

Abstract

Considering a class of polynomials G(z) = anzⁿ + Σnv=t an−vzⁿ⁻ᵛ, 1 ≤ t ≤ n having all it’s zeros in the disk |z| ≤ k, k ≤ 1, we present a generalization and improvement of results by Malik and Vong[8]. Also a variety of intresting results emerge as special cases of our findings.