weighted approximation varying weight von totik vilmos (6 Ergebnisse)

VI, 114 pages Ex-Library book in very good condition. 9783540577058 Sprache: Englisch Gewicht in Gramm: 249.

Zustand: Gut. Zustand: Gut | Seiten: 124 | Sprache: Englisch | Produktart: Sonstiges.

Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-03096 354057705X Sprache: Englisch Gewicht in Gramm: 550.

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.

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.

Zustand: New. In.