Korean J. Math. Vol. 29 No. 2 (2021) pp.435-443
DOI: https://doi.org/10.11568/kjm.2021.29.2.435

On an operator preserving polynomial inequalities

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Published: Jun 30, 2021
Keywords:
Polynomials, Operators, Inequalities in the complex domain.
Mathematics Subject Classification:
26D10, 41A17

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Nisar Ahmad Rather
Department of Mathematics, University of Kashmir, Srinagar-190006, India
Liyaqat Ali
Department of Mathematics, University of Kashmir, Srinagar-190006, India
Ishfaq Dar
Department of Mathematics, University of Kashmir, Srinagar-190006, India

Abstract

In this paper, we consider an operator $N : \mathcal{P}_n\rightarrow \mathcal{P}_n$ on the space of polynomials $\mathcal{P}_n$ of degree at most $n$ and establish some compact generalizations of Bernstein-type polynomial inequalities, which include several well known polynomial inequalities as special cases.


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