Weighted Approximation with Varying Weight
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Produktinformationen "Weighted Approximation with Varying Weight"
A new construction is given for approximating a logarithmic potential by a discrete one. This yields a new approach to approximation with weighted polynomials of the form w"n"(" "= uppercase)P"n"(" "= uppercase). The new technique settles several open problems, and it leads to a simple proof for the strong asymptotics on some L p(uppercase) extremal problems on the real line with exponential weights, which, for the case p=2, are equivalent to power- type asymptotics for the leading coefficients of the corresponding orthogonal polynomials. The method is also modified toyield (in a sense) uniformly good approximation on the whole support. This allows one to deduce strong asymptotics in some L p(uppercase) extremal problems with varying weights. Applications are given, relating to fast decreasing polynomials, asymptotic behavior of orthogonal polynomials and multipoint Pade approximation. The approach is potential-theoretic, but the text is self-contained.
| H | B | T | Gramm | 235 mm | 155 mm | 8 mm | 201 gr |
| Erscheinungsjahr | 1994 |
| FSK | 0 |
| Ausgabe | Hardcover |
| Publisher | Buchpark GmbH, Krügerweg 1, 14959 Trebbin, Telefon: +4933817976585, E-Mail: info@buchpark.de |
| ISBN-10 | 354057705X |
| ISBN-13 | 9783540577058 |
| Autor | Vilmos Totik |
| Sprache | Englisch |
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