Schur-Type Inequalities for Complex Polynomials with no Zeros in the Unit Disk

Starting out from a question posed by T. Erdélyi and J. Szabados, we consider Schur-type inequalities for the classes of complex algebraic polynomials having no zeros within the unit disk D. The class of polynomials with no zeros in D—also known as Bernstein or Lorentz class—was studied...

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Bibliographic Details
Main Author: Szilárd Gy. Révész
Format: Article
Language:English
Published: SpringerOpen 2007-12-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2007/90526