Weighted approximation with varying weight / / Vilmos Totik

• Autore: Totik V.
• Pubblicazione: Berlin ; ; Heidelberg : , : Springer-Verlag, , [1994]; ©1994
• Edizione: 1st ed. 1994.
• Descrizione fisica: 1 online resource (VI, 118 p.)
• Disciplina: 511.4
• Soggetto topico: Approximation theory
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di contenuto: Freud weights -- Approximation with general weights -- Varying weights -- Applications.
• Sommario/riassunto: 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.
• Titolo autorizzato: Weighted approximation with varying weight
• ISBN: 3-540-48323-3
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 996466375003316
• Lo trovi qui: Univ. di Salerno
• Serie: Lecture notes in mathematics (Springer-Verlag) ; ; Volume 1569.