Items related to Weighted Approximation with Varying Weight (Lecture...
Synopsis
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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Weighted approximation with varying weight : WnPn. Lecture notes in mathematics ; Vol. 1569
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Weighted Approximation with Varying Weight. Lecture notes in mathematics; Bd. 1569.
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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
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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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Springer Berlin Heidelberg Feb 1994, 1994
ISBN 10: 354057705X
ISBN 13: 9783540577058
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Taschenbuch. Condition: 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. Seller Inventory # 9783540577058
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Weighted Approximation with Varying Weight
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Springer Berlin Heidelberg, 1994
ISBN 10: 354057705X
ISBN 13: 9783540577058
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Seller: Buchpark, Trebbin, Germany
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Condition: Gut. Zustand: Gut | Seiten: 124 | Sprache: Englisch | Produktart: Sonstiges. Seller Inventory # 4429070/203
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Weighted Approximation with Varying Weight
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Condition: New. PRINT ON DEMAND pp. 124. Seller Inventory # 182571930
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Weighted Approximation with Varying Weight
Published by
Springer Berlin Heidelberg, 1994
ISBN 10: 354057705X
ISBN 13: 9783540577058
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Taschenbuch
Seller: AHA-BUCH GmbH, Einbeck, Germany
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Taschenbuch. Condition: 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. Seller Inventory # 9783540577058
Quantity: 1 available