Some Results Concerning Growth of Polynomials

A Note on a Theorem of T. J. Rivlin

“…Some more results related to inequalities that compares the growth of a polynomial on |z| = r and |z| = R, where r < R, can be found in (see [4,8]).…”

Inequalities Concerning The Maximum Modulus of Polynomials

“…The result is sharp and equality holds for the polynomial P(z) = αz n + β with |α| = |β|. Recently, A.Zireh et al [7] have generalised inequality (1.4) and some results due to Dewan and Hans [4]. In fact they have considered the zeros of largest moduli and proved the following results.…”

Bounds for the Maximum Modulus of Polynomial Not Vanishing in a Disk

“…For the class of polynomials having no zeros in |z| < 1, the inequalities (1.1) and (1.2) are sharpened by Ankeny and Rivlin [1] and Rivlin [12], by proving following inequality (1. There are several results concerning the refinement and generalizations of above mentioned inequalities (see [5], [7] and [14]).…”