On some inequalities concerning polynomials with restricted zeros-Reference-Cited by-同舟云学术

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On some inequalities concerning polynomials with restricted zeros

Published:2024-04-24 Issue: Volume: Page:
ISSN:1425-6908
Container-title:Journal of Applied Analysis
language:en
Short-container-title:

Author:

Bhat Aijaz¹^ORCID,Bhat Tanveer²,Rather N. A.²

Affiliation:

1. Department of Mathematics , Government Degree College Drass , Drass , Kargil Ladakh-194102 , India

2. Department of Mathematics , 26079 University of Kashmir , Srinagar - 190006 , India

Abstract

Abstract In this work we prove some new Bernstein-type inequalities for the polynomials with restricted zeros. Our results strengthen some recently proved Erdős–Lax and Turán-type inequalities by Kumar and others. We further extend the obtained results to the polar derivative of a polynomial.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/jaa-2023-0160/pdf

Reference18 articles.

1. A. Aziz, Inequalities for the derivative of a polynomial, Proc. Amer. Math. Soc. 89 (1983), no. 2, 259–266.

2. A. Aziz, Inequalities for the polar derivative of a polynomial, J. Approx. Theory 55 (1988), no. 2, 183–193.

3. A. Aziz and N. Ahmad, Inequalities for the derivative of a polynomial, Proc. Indian Acad. Sci. Math. Sci. 107 (1997), no. 2, 189–196.

4. A. Aziz and N. A. Rather, A refinement of a theorem of Paul Turán concerning polynomials, Math. Inequal. Appl. 1 (1998), no. 2, 231–238.

5. A. Aziz and N. A. Rather, Inequalities for the polar derivative of a polynomial with restricted zeros, Math. Balkanica (N. S.) 17 (2003), no. 1–2, 15–28.

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