Some inequalities for maximum modules of polynomials
A well-known result of Ankeney and Rivlin states that if p(z) is a polynomial of degree n, such that p(z)≠0 in |z|<1, then max|z|=R≥1|p(z)|≤(Rn+12)max|z|=1|p(z)|. In this paper we prove some generalizations and refinements of this result.
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
1991-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S016117129100025X |