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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.
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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.
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- VerlagSpringer
- Erscheinungsdatum2009
- ISBN 10 354057705X
- ISBN 13 9783540577058
- EinbandTapa blanda
- SpracheEnglisch
- Anzahl der Seiten124
- Kontakt zum HerstellerNicht verfügbar
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Weighted Approximation with Varying Weight
Verlag:
Springer Berlin Heidelberg, 1994
ISBN 10: 354057705X
ISBN 13: 9783540577058
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Weighted approximation with varying weight : WnPn. Lecture notes in mathematics ; Vol. 1569
Verlag:
Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo ; Hong Kong ; Barcelona ; Budapest : Springer, 1994
ISBN 10: 354057705X
ISBN 13: 9783540577058
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VI, 114 pages Ex-Library book in very good condition. 9783540577058 Sprache: Englisch Gewicht in Gramm: 249. Bestandsnummer des Verkäufers 1166239
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Weighted Approximation with Varying Weight. Lecture notes in mathematics; Bd. 1569.
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Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-03096 354057705X Sprache: Englisch Gewicht in Gramm: 550. Bestandsnummer des Verkäufers 2488993
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Weighted Approximation with Varying Weight
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Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. A new construction is given for approximating a logarithmicpotential by a discrete one. This yields a new approach toapproximation with weighted polynomials of the formw n ( = uppercase)P n ( = uppercase). The new techniquesettles several open pr. Bestandsnummer des Verkäufers 4894423
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Weighted Approximation with Varying Weight
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - A new construction is given for approximating a logarithmicpotential by a discrete one. This yields a new approach toapproximation with weighted polynomials of the formw'n'(' '= uppercase)P'n'(' '= uppercase). The new techniquesettles several open problems, and it leads to a simpleproof 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- typeasymptotics for the leading coefficients of thecorresponding orthogonal polynomials. The method is alsomodified toyield (in a sense) uniformly good approximationon the whole support. This allows one to deduce strongasymptotics in some L p(uppercase) extremal problems withvarying weights. Applications are given, relating to fastdecreasing polynomials, asymptotic behavior of orthogonalpolynomials and multipoint Pade approximation. The approachis potential-theoretic, but the text is self-contained. Bestandsnummer des Verkäufers 9783540577058
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Weighted Approximation with Varying Weight
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ISBN 13: 9783540577058
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Taschenbuch. Zustand: Neu. Neuware -A new construction is given for approximating a logarithmicpotential 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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 124 pp. Englisch. Bestandsnummer des Verkäufers 9783540577058
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Weighted Approximation with Varying Weight
Verlag:
Springer Berlin Heidelberg Feb 1994, 1994
ISBN 10: 354057705X
ISBN 13: 9783540577058
Neu
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Anbieter: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Deutschland
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -A new construction is given for approximating a logarithmicpotential by a discrete one. This yields a new approach toapproximation with weighted polynomials of the formw'n'(' '= uppercase)P'n'(' '= uppercase). The new techniquesettles several open problems, and it leads to a simpleproof 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- typeasymptotics for the leading coefficients of thecorresponding orthogonal polynomials. The method is alsomodified toyield (in a sense) uniformly good approximationon the whole support. This allows one to deduce strongasymptotics in some L p(uppercase) extremal problems withvarying weights. Applications are given, relating to fastdecreasing polynomials, asymptotic behavior of orthogonalpolynomials and multipoint Pade approximation. The approachis potential-theoretic, but the text is self-contained. 124 pp. Englisch. Bestandsnummer des Verkäufers 9783540577058
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Weighted Approximation with Varying Weight (Lecture Notes in Mathematics, 1569)
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Weighted Approximation with Varying Weight
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Weighted Approximation with Varying Weight (Lecture Notes in Mathematics, 1569)
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