On the maximum modulus of a polynomial and its derivatives

K. K. Dewan and Abdullah Mir

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-5

Abstract:

Let f ( z ) be an arbitrary entire function and M ( f , r ) = max | z | = r | f ( z ) | . For a polynomial P ( z ) , having no zeros in | z | < k , k ≥ 1 , Bidkham and Dewan (1992) proved max | z | = r | P ′ ( z ) | ≤ ( n ( r + k ) n − 1 / ( 1 + k ) n ) max | z | = 1 | P ( z ) | for 1 ≤ r ≤ k . In this paper, we generalize as well as improve upon the above inequality.

Date: 2005
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2005/572928.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2005/572928.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:572928

DOI: 10.1155/IJMMS.2005.2641

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().