Inequalities for rational functions with poles in the Half plane

In this paper we prove certain Bernstein-type inequalities for rational functions with poles in the right half plane. We also deduce some estimates for the maximum modulus of polar derivative of a polynomial on the imaginary axis in terms of the modulus of the polynomial.

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Publication Details

Journal
Acta Universitatis Sapientiae Mathematica
Published
2025-02-28
DOI
https://doi.org/10.47745/ausm-2024-0022
Primary Topic
Mathematical functions and polynomials
Type
article
Field-Weighted Citation Impact
0.00
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article

Inequalities for rational functions with poles in the Half plane

W. M. Shah, G. M. Sof
Acta Universitatis Sapientiae Mathematica
Mathematical functions and polynomials
article

Inequalities for rational functions with poles in the Half plane

W. M. Shah, G. M. Sof
article en

Abstract

In this paper we prove certain Bernstein-type inequalities for rational functions with poles in the right half plane. We also deduce some estimates for the maximum modulus of polar derivative of a polynomial on the imaginary axis in terms of the modulus of the polynomial.

Acta Universitatis Sapientiae MathematicaVol. 16(2)
Central University of Kashmir (IN)
Openalex Percentile: Top 92%
Mathematical functions and polynomials
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Inequalities for rational functions with poles in the Half plane — W. M. Shah, G. M. Sof · Acta Universitatis Sapientiae Mathematica (2025) | TGRS Research Map | TGRS