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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A comparison inequality for rational functions


Author: Xin Li
Journal: Proc. Amer. Math. Soc. 139 (2011), 1659-1665
MSC (2010): Primary 26D10, 26Cxx; Secondary 30A10, 30C15
Published electronically: September 16, 2010
MathSciNet review: 2763755
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Abstract: We establish a new inequality for rational functions and show that it implies many inequalities for polynomials and their polar derivatives.


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Additional Information

Xin Li
Affiliation: Department of Mathematics, University of Central Florida, Orlando, Florida 32816
Email: xli@math.ucf.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-2010-10624-X
PII: S 0002-9939(2010)10624-X
Keywords: Bernstein inequality, rational functions, polar derivative
Received by editor(s): February 4, 2010
Received by editor(s) in revised form: May 17, 2010
Published electronically: September 16, 2010
Communicated by: Walter Van Assche
Article copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.