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.
Funding statement: The second author was supported by University Grants Commission, Government of India.
Acknowledgements
The authors are extremely grateful to the anonymous referee for valuable suggestions regarding the paper, which helped us to improve the quality of the manuscript.
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