• INEQUALITIES CONCERNING THE INTEGRAL MEAN ESTIMATES FOR POLYNOMIALS

Abstract

Let P (z) be a polynomial of degree n and P(z) its derivative. In this paper we shall obtain an interesting generalization of De-Bruijn’s Theorem and obtain as a special case the inequality due to Malik that if P(z)  0 for
|z| < k, k 1, then and its generalization due to Govil.

Keywords and Phrases: Erdos-Lax Theorem, Maximum Modulus Principle, Zeros of a polynomial.

Mathematics Subject Classification: (2000) 30A12, 30D15