Bibliographic Details
| Title: |
Extension and Generalization of Polynomial Inequalities. |
| Authors: |
Singh, Mayanglambam Singhajit1 msinghasingho@gmail.com, Chanam, Barchand2 barchand_2004@yahoo.co.in |
| Source: |
IAENG International Journal of Applied Mathematics. Apr2024, Vol. 54 Issue 4, p651-656. 6p. |
| Subjects: |
Polynomials, Generalization |
| Abstract: |
In this paper, we extend and generalize an improved bound on the unit circle jzj = 1 concerning polar derivative of a polynomial of degree n having no zero in jzj < k, 0 < k ≤ 1 to an inequality involving the maximum modulus of the polar derivative of the polynomial on circles of radii r;R with 1 ≤ r ≤ R < 1. As consequences of our result, we are able to extend and improve some known polynomial inequalities as well. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
