ON MEASURES INDUCED BY EXTREMAL SIGNATURES IN BEST REAL POLYNOMIAL-APPROXIMATION

Authors
GEHLEN W
Citation
W. Gehlen, ON MEASURES INDUCED BY EXTREMAL SIGNATURES IN BEST REAL POLYNOMIAL-APPROXIMATION, Constructive approximation, 14(1), 1998, pp. 79-96
Citations number
11
Categorie Soggetti
Mathematics,Mathematics
Journal title
Constructive approximation → ACNP
ISSN journal
01764276
Volume
14
Issue
1
Year of publication
1998
Pages
79 - 96
Database
ISI
SICI code
0176-4276(1998)14:1<79:OMIBES>2.0.ZU;2-1
Abstract
We consider the limit distribution of measures mu(n), n epsilon N-0, t hat appear in extremal signatures in the best polynomial approximation of a real-valued function f epsilon C[-1, 1]. Relations between struc tural properties of the function f and weak-star limit points of (mu(n ))(n) are proved.