On Some Inequalities Concerning Rate of Growth of Polynomials

In this paper we consider a class of polynomials P(z)=a0+∑v^n=tavZv, t≥ 1, not vanishing in |z| 〈k, k≥1 and investigate the dependence of max|z|=1 |P(Rz) -P(rz)] on max|z|=1|P(z)|, where 1≤ r 〈 R. Our result generalizes and refines some known polynomial inequalities....

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Veröffentlicht in:Analysis in theory & applications 2014, Vol.30 (3), p.290-295
Hauptverfasser: Abdullah Mir, Abdullah Mir, Imtiaz Hussain, Imtiaz Hussain, Q. M. Dawood, Q. M. Dawood
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper we consider a class of polynomials P(z)=a0+∑v^n=tavZv, t≥ 1, not vanishing in |z| 〈k, k≥1 and investigate the dependence of max|z|=1 |P(Rz) -P(rz)] on max|z|=1|P(z)|, where 1≤ r 〈 R. Our result generalizes and refines some known polynomial inequalities.
ISSN:1672-4070
1573-8175
DOI:10.4208/ata.2014.v30.n3.5