Markov-type inequalities for polynomials with restricted zeros

Authors
Halasz, G
Citation
G. Halasz, Markov-type inequalities for polynomials with restricted zeros, J APPROX TH, 101(1), 1999, pp. 148-155
Citations number
7
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF APPROXIMATION THEORY
ISSN journal
00219045 → ACNP
Volume
101
Issue
1
Year of publication
1999
Pages
148 - 155
Database
ISI
SICI code
0021-9045(199911)101:1<148:MIFPWR>2.0.ZU;2-A
Abstract
Upper bounds of the exact order of magnitude in n are given for max(-1 less than or equal to x less than or equal to 1)\p'(x)\/max(-1 less than or equal to x less than or equal to 1)\p(x)\ for polynomials p of degree n, free of zeros in certain regions containing the interval (-1, 1). (C) 1999 Academic Press.