Events The 1st International Online Conference on Mathematics and Applications

Event submissions

Published

10.3390/IOCMA2023-14378 (registering DOI)

This submission belongs to the session S6. Algebra and Geometry with Applications to Related Fields of the event The 1st International Online Conference on Mathematics and Applications

Published date

28 Apr, 2023

Academic Editor

Adolfo Ballester-Bolinches

Citation

Ishfaq Nazir, Irfan Ahmad Wani, Mohammad Ibrahim Mir, Generalization and sharpening of some inequalities for Polynomials, in Proceedings of The 1st International Online Conference on Mathematics and Applications, 1 May–15 May 2023, MDPI: Basel, Switzerland, doi: 10.3390/IOCMA2023-14378

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Generalization and sharpening of some inequalities for Polynomials

Ishfaq Nazir ¹

Irfan Ahmad Wani ²

Mohammad Ibrahim Mir ²

1. University of kashmir, India

2. University of kashmir

Abstract

The goal of this paper is to establish some results for the polar derivative of
a polynomial in the plane that are inspired by a classical result of Turan that relates the
sup-norm of the derivative on the unit circle to that of the polynomial itself under some
conditions. The obtained results sharpen as well as generalize some known estimates that
relate the sup-norm of the polar derivative and the polynomial. Moreover, some concrete
numerical examples are presented, showing that in some situations, the bounds obtained by
our results can be considerably sharper than the previous ones known in very rich literature
on this subject.

Keywords

Polynomials

Inequalities

Zeros.

Manuscript

Generalization and sharpening of some inequalities for polynomials.pdf

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