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Rational approximation with varying weights I

โœ Scribed by P. Borwein; E. A. Rakhmanov; E. B. Saff

Publisher
Springer
Year
1996
Tongue
English
Weight
648 KB
Volume
12
Category
Article
ISSN
0176-4276

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๐Ÿ“œ SIMILAR VOLUMES

Rational Approximation with Varying Weig
Rational Approximation with Varying Weights, II
โœ E.A Rakhmanov; E.B Saff; P.C Simeonov ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 275 KB

We consider two problems concerning uniform approximation by weighted rational functions [w n r n ] n=1 , where r n = p n ร‚q n has real coefficients, deg p n [:n] and deg q n [;n], for given :>0 and ; 0. For w(x) :=e x we show that on any interval [0, a] with a # (0, a^(:, ;)), every real-valued fun

A Note on Weighted Polynomial Approximat
A Note on Weighted Polynomial Approximation with Varying Weights
โœ A.B.J. Kuijlaars ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 199 KB

It is shown that if weighted polynomials w n P n with deg P n n converge uniformly on the support of the extremal measure associated with w, then they converge to 0 everywhere else. It is also shown that uniform approximation on the support can always be characterized by a closed subset Z having the