BERNSTEIN-TYPE INEQUALITIES FOR COMPLEX POLYNOMIALS

BERNSTEIN-TYPE INEQUALITIES FOR COMPLEX POLYNOMIALS

M. Shahmoradi, M.Bidkham

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Abstract

Considering a class of polynomials G(z) = anzn + Pn v=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.

Keywords

Complex polynomial, Inequalities, Maximum, zeros.