Some inequalities for maximum modulus of rational functions

Abdullah Mir

Abstract


In this paper, we establish some inequalities for rational functions with prescribed poles and restricted zeros in the sup-norm on the unit circle in the complex plane. Generalizations and refinements of rational function inequalities of Govil, Li, Mohapatra and Rodriguez are obtained.

Keywords


Rational function; polynomial; poles; zeros

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References


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DOI: http://dx.doi.org/10.17951/a.2019.73.1.33-39
Date of publication: 2019-12-19 10:33:46
Date of submission: 2019-12-17 09:57:34


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