Weighted approximation with varying weight
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The work Weighted approximation with varying weight represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Weighted approximation with varying weight
Resource Information
The work Weighted approximation with varying weight represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Weighted approximation with varying weight
 Statement of responsibility
 Vilmos Totik
 Subject

 Approximation theory
 Approximation, Théorie de l'
 Approximation, Théorie de l'
 Approximationstheorie
 Benaderingen (wiskunde)
 Gewichtete Polynomapproximation
 Polynomen
 Polynomials
 Polynomials
 Polynomials
 Polynomials
 Polynômes
 Polynômes
 analyse Fourier
 approximation Padé
 approximation polynomiale
 approximation pondérée
 degré approximation
 inégalité
 polynôme
 théorie potentiel
 Approximation theory
 Approximation theory
 Approximation theory
 Language
 eng
 Summary
 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 potentialtheoretic, but the text is selfcontained
 Cataloging source
 DLC
 Index
 index present
 LC call number

 QA3
 QA221
 LC item number

 .L28 no. 1569
 .T68 1994
 Literary form
 non fiction
 Nature of contents
 bibliography
 Series statement
 Lecture notes in mathematics
 Series volume
 1569
Context
Context of Weighted approximation with varying weightWork of
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