文章基本信息
- 标题：On the maximum modulus of a polynomial and its derivatives
- 本地全文：下载
- 作者：K. K. Dewan ; Abdullah Mir
- 期刊名称：International Journal of Mathematics and Mathematical Sciences
- 印刷版ISSN：0161-1712
- 电子版ISSN：1687-0425
- 出版年度：2005
- 卷号：2005
- 期号：16
- 页码：2641-2645
- DOI：10.1155/IJMMS.2005.2641
- 出版社：Hindawi Publishing Corporation
- 摘要：
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.
