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On Some Inequalities Concerning Rate of Growth of Polynomials

On Some Inequalities Concerning Rate of Growth of Polynomials

Year:    2014

Author:    Abdullah Mir, Imtiaz Hussain, Q. M. Dawood

Analysis in Theory and Applications, Vol. 30 (2014), Iss. 3 : pp. 290–295

Abstract

In this paper we consider a class of polynomials P(z)=a0+nv=tavzv, t1, not vanishing in |z|<k, k1 and investigate the dependence of max|z|=1|P(Rz)P(rz)| on max|z|=1|P(z)|, where 1r<R. Our result generalizes and refines some known polynomial inequalities.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.2014.v30.n3.5

Analysis in Theory and Applications, Vol. 30 (2014), Iss. 3 : pp. 290–295

Published online:    2014-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    6

Keywords:    Polynomial zero inequality.

Author Details

Abdullah Mir Email

Imtiaz Hussain Email

Q. M. Dawood Email