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On the derivative of a polynomial

Part of: General properties

Published online by Cambridge University Press:  24 May 2022

Prasanna Kumar Open the ORCID record for Prasanna Kumar [Opens in a new window]
Prasanna Kumar*
Affiliation:
Department of Mathematics, Birla Institute of Technology and Science Pilani, K K Birla Goa Campus, Goa 403726, India (prasannak@goa.bits-pilani.ac.in)
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Abstract

In this paper, we prove the well-known Erdős–Lax inequality [4] in a sharpened form. As a consequence, another widely used inequality due to Ankeny and Rivlin [1] gets sharpened. These results may be useful in various applications that required the Erdős–Lax and the Ankeny–Rivlin inequalities.

Keywords

polynomialszerosinequalities

MSC classification

Primary: 30A10: Inequalities in the complex domain
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 65 , Issue 2 , May 2022 , pp. 303 - 310
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Copyright
Copyright © The Author(s), 2022. Published by Cambridge University Press on Behalf of The Edinburgh Mathematical Society

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References

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