On Some Improved Bounds of the Polar Derivative of Polynomials

Authors

  • Barchand Chanam Department of Mathematics, National Institute of Technology Manipur, Imphal- 795004, India.

DOI:

https://doi.org/10.9734/bpi/rhmcs/v5/9285F

Keywords:

Polynomials, inequality, maximum modulus, zeros

Abstract

Let p(z) be a polynomial of degree n. A well-known inequality due to S. Bernstein states that

                                                  

Later in 1985, Frappier, Rahman and Ruscheweyh strengthened the above inequality by proving

                                                  

In this article, we compare some inequalities of later type concerning the polar derivative of the polynomial.

Published

2023-01-25

How to Cite

Barchand Chanam. (2023). On Some Improved Bounds of the Polar Derivative of Polynomials. Research Highlights in Mathematics and Computer Science Vol. 5, 23–32. https://doi.org/10.9734/bpi/rhmcs/v5/9285F

Issue

Research Highlights in Mathematics and Computer Science Vol. 5

Section

Chapters