AN EXTREMAL PROBLEM FOR POLYNOMIALS

Authors
EREMENKO A LEMPERT L
Citation
A. Eremenko et L. Lempert, AN EXTREMAL PROBLEM FOR POLYNOMIALS, Proceedings of the American Mathematical Society, 122(1), 1994, pp. 191-193
Citations number
3
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
122
Issue
1
Year of publication
1994
Pages
191 - 193
Database
ISI
SICI code
0002-9939(1994)122:1<191:AEPFP>2.0.ZU;2-8
Abstract
Let f(7) = z(n) + , . . . be a polynomial such that the level set E = {z : \f(z)\ less-than-or-equal-to 1} is connected. Then max {\f'(7)\: z is-an-element-of E} < 2(1/n)-1n2, and this estimate is the best poss ible.