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Rational Approximation with Varying Weights III

โœ Scribed by E.B. Saff; P.C. Simeonov


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
251 KB
Volume
102
Category
Article
ISSN
0021-9045

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๐Ÿ“œ SIMILAR VOLUMES


Rational Approximation with Varying Weig
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
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

Weighted Approximation with Varying Weig
โœ A.B.J. Kuijlaars ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 145 KB

The class of functions that can be uniformly approximated by weighted polynomials of the form w n P with deg P F n, depends on the behavior of the extremal n n measure associated with w as introduced by Mhaskar and Saff. It is shown that if in a neighborhood of a point t the extremal measure has a d

Rational Approximation with Locally Geom
โœ A.L Levin; V.V Maimeskul; E.B Saff ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 425 KB

We investigate the rate of pointwise rational approximation of functions from two classes. The distinguishing feature of these classes is the essentially faster convergence of the best uniform rational approximants versus best uniform polynomial approximants. It is known that for piecewise analytic