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Open Access Green as soon as Postprint is submitted to ZB.
A modified Fejer and Jackson summability method with respect to orthogonal polynomials.
J. Approx. Theory 163, 554-567 (2011)
Let {P-n](n=0)(infinity) be an orthogonal polynomial system on the real line with respect to a measure mu with compact support S. Following the classical methods, we define a modified Fejer and Jackson summability method for Fourier series with respect to {Pn](n=0)(infinity). There is a discussion for ultraspherical polynomials. Moreover, we give error estimates for positive summability methods.
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Publication type
Article: Journal article
Document type
Scientific Article
Keywords
Orthogonal polynomials; Ultraspherical polynomials; Fourier series; Fejer kernel; Jackson kernel; Positive operators; Summability method
ISSN (print) / ISBN
0021-9045
e-ISSN
1096-0430
Journal
Journal of Approximation Theory
Quellenangaben
Volume: 163,
Issue: 4,
Pages: 554-567
Publisher
Elsevier
Publishing Place
San Diego, USA
Reviewing status
Peer reviewed
Institute(s)
Institute of Biomathematics and Biometry (IBB)