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 |
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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. |
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ISSN: | 1672-4070 1573-8175 |
DOI: | 10.4208/ata.2014.v30.n3.5 |