A characterization of smoothness for Freud weights

A characterization of smoothness for Freud weights

We obtain a new characterization of smoothness for weighted polynomial approximation with respect to Freud weights together with an existence theorem for derivatives. Our methods rely heavily on realization functionals.

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Veröffentlicht in:Journal of computational and applied mathematics 1998-11, Vol.99 (1), p.463-473
1. Verfasser: Damelin, S.B.
Format: Artikel
Sprache:eng
Schlagworte:
Approximations and expansions
Exact sciences and technology
Fourier analysis
Freud weight
Jackson-Bernstein theorem
Mathematical analysis
Mathematics
Modulus of smoothness
Polynomial approximation
Realization functional
Sciences and techniques of general use
Special functions
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Beschreibung
Zusammenfassung:We obtain a new characterization of smoothness for weighted polynomial approximation with respect to Freud weights together with an existence theorem for derivatives. Our methods rely heavily on realization functionals.
ISSN:0377-0427
1879-1778
DOI:10.1016/S0377-0427(98)00177-0