Some Bounds for the Polar Derivative of a Polynomial

Jiraphorn Somsuwan and Keaitsuda Maneeruk Nakprasit

International Journal of Mathematics and Mathematical Sciences, 2018, vol. 2018, 1-4

Abstract:

The polar derivative of a polynomial of degree with respect to a complex number is a polynomial , denoted by . Let . For a polynomial of degree having all its zeros in , we investigate a lower bound of modulus of on . Furthermore, we present an upper bound of modulus of on for a polynomial of degree having no zero in . In particular, our results in case generalize some well-known inequalities.

Date: 2018
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2018/5034607.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2018/5034607.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:5034607

DOI: 10.1155/2018/5034607

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 ().