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International Conference on Statistics, Combinatorics and Related Areas and the Eighth International Conference of Forum for Interdisciplinary Mathematics
December 19-21, 2001
School of Mathematics and Applied Statistics, University of Wollongong
Wollongong, NSW, Australia |
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Organizers
Satya N. Mishra (University of South Alabama), Chandra M. Gulati (University of Wollongong)
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A New Inequality for a Polynomial
by
Jagjit Kaur
university of delhi
Let p( z ) = \sumj = 0n aj zj be a polynomial of degree n >= 2, having no
zeros in | z | < k, k >= 1, then it has
been shown that for R > 1 and |z|=1
|
| p ( Rz ) - p( z ) | <= ( Rn - 1 )\frac1 + ABk21 + k2 + 2ABk2 |
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| p ( z ) | - { 1 - \frac1 + ABk21 + k2 + 2ABk2 }\frac( Rn - 1 )mkn |
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where m =
| p( z ) |, A = \fracR - 1Rn - 1 and B=| \fraca1a0|.
Our result generalises and improves upon some well known results.
Date received: November 23, 2001
Copyright © 2001 by the author(s).
The author(s) of this document and the organizers of the conference
have granted their consent to include this abstract in
Atlas Conferences Inc.
Document # caim-14.