Abstract.
We consider the limit distribution of measures μ n , \(n\in {\bf N}_0,\) that appear in extremal signatures in the best polynomial approximation of a real-valued function \(f \in C[-1,1]\) . Relations between structural properties of the function f and weak-star limit points of (μ n ) n are proved.
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April 4, 1996. Date revised: October 25, 1996.
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Gehlen, W. On Measures Induced by Extremal Signatures in Best Real Polynomial Approximation. Constr. Approx. 14, 79–96 (1998). https://doi.org/10.1007/s003659900064
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DOI: https://doi.org/10.1007/s003659900064
- Key words. 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
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