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Rational approximation with sign-sensitive weight

โœ Scribed by A. -R. K. Ramazanov


Publisher
SP MAIK Nauka/Interperiodica
Year
1996
Tongue
English
Weight
491 KB
Volume
60
Category
Article
ISSN
0001-4346

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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