Maximum Modulus of Polynomials
Year: 2017
Analysis in Theory and Applications, Vol. 33 (2017), Iss. 2 : pp. 110–117
Abstract
Let P(z)=n∑j=0ajzj be a polynomial of degree n and let M(P,r)=max|z|=r|P(z)|. If P(z)≠0 in |z|<1, then M(P,r)≥(1+r1+ρ)nM(P,ρ).The result is best possible. In this paper we shall present a refinement of this result and some other related results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2017.v33.n2.2
Analysis in Theory and Applications, Vol. 33 (2017), Iss. 2 : pp. 110–117
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: Maximum modulus growth of polynomial derivative.