Volume : III, Issue : XII, December - 2014

Bounds For The Maximum Modulus of Polynomials With Restricted Zeros

Roshan Lal

Abstract :

Let be a polynomial of degree . Concerning the estimate for the maximum modulus of a polynomial on the circle z = R, R > 0 , in terms of its degree and the maximum modulus on the unit circle, we have several well known results for the case R ≥ 1 and r ≥ 1 respectively. In this paper, we have obtained bounds for the maximum modulus of polynomials having some zeros in the interior of a circle of radius R ≥ 1 . Our result improves as well as generalizes the bounds obtained by other authors for the same class of polynomials.

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Article: Download PDF   DOI : 10.36106/ijsr  

Cite This Article:

Roshan Lal Bounds For The Maximum Modulus of Polynomials With Restricted Zeros International Journal of Scientific Research, Vol : 3, Issue : 12 December 2014

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