On Measures Induced by Extremal Signatures in Best Real Polynomial Approximation |
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Authors: | W Gehlen |
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Institution: | FB IV-Mathematik Universit?t Trier 54286 Trier Germany, DE
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Abstract: | We consider the limit distribution of measures μ
n
, that appear in extremal signatures in the best polynomial approximation of a real-valued function . Relations between structural properties of the function f and weak-star limit points of (μ
n
)
n
are proved.
April 4, 1996. Date revised: October 25, 1996. |
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Keywords: | , Polynomial approximation, Best polynomial approximants, Extremal signatures, Extreme points, AMS Classification,,,,,,41A50, 41A10, <,lsiheader>, <,onlinepub>,8 May, 1998 <,editor>,Editors-in-Chief: &,lsilt,a href=,,/edboard,html#chiefs&,lsigt,R,A,,,,,,DeVore, E,B, Saff&,lsilt,/a&,lsigt, <,pdfname>,14n1p79,pdf <,pdfexist>,yes <,htmlexist>,no <,htmlfexist>,no <,texexist>,yes <,sectionname>,,,,,,<,/lsiheader>, |
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