ON TRIGONOMETRIC POLYNOMIALS WITH ONLY REAL ZEROS

Authors
Citation
Qi. Rahman et Ao. Watt, ON TRIGONOMETRIC POLYNOMIALS WITH ONLY REAL ZEROS, Journal of mathematical analysis and applications, 182(2), 1994, pp. 405-408
Citations number
1
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
ISSN journal
0022247X
Volume
182
Issue
2
Year of publication
1994
Pages
405 - 408
Database
ISI
SICI code
0022-247X(1994)182:2<405:OTPWOR>2.0.ZU;2-2
Abstract
Let t be a real trigonometric polynomial of degree n with only real ze ros. Among the intervals [alpha, beta] where alpha, beta are consecuti ve zeros of t those on which t deviates least from zero are of length at most pi/n. (C) 1994 Academic Press, Inc.