Bounds for the derivative of a certain class of rational functions

Authors

  • Preeti Gupta
  • Sunil Hans
  • Abdullah Mir

DOI:

https://doi.org/10.1285/i15900932v41n2p9

Keywords:

Rational functions, Polynomial inequalities, Zeros, Poles, Blaschke product

Abstract

In this paper, we shall obtain the bounds for the derivative of a rational function in the supremum norm on the unit circle in both the directions by involving the moduli of all its zeros. The obtained results strengthen some recently proved results.

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Published

16-12-2021

Issue

Volume 41, issue 2 (2021)

Section

Articoli

License

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Gli autori che pubblicano in questa rivista accettano i termini e le condizioni specificate nella licenza Creative Commons di cui al link sottostante.

http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode