Authors
Citation
M. Arsenault et Qi. Rahman, ON 2 POLYNOMIAL INEQUALITIES OF ERDOS RELATED TO THOSE OF THE BROTHERS MARKOV, Journal of approximation theory, 84(2), 1996, pp. 197-235
Citations number
18
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
ISSN journal
00219045
Volume
84
Issue
2
Year of publication
1996
Pages
197 - 235
Database
ISI
SICI code
0021-9045(1996)84:2<197:O2PIOE>2.0.ZU;2-H
Abstract
Polynomials of degree at most n which are real on the real axis and do
not vanish in the open unit disk are considered. Sharp point-wise bou
nds for the derivative p'(x) at an arbitrarily prescribed point x(0) o
f the unit interval, in terms of the maximum of \ p(x)\ on [-1,1] are
obtained. Certain other related problems are also solved. (C) 1996 Aca
demic Press, Inc.