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Free by publisher: Publ. Version/Full Text online available 11/2029
as soon as is submitted to ZB.
Powers of the Dirichlet kernel with respect to orthogonal polynomials and related operators.
Acta Sci. Math. 83, 539-549 (2017)
DOI
Let { P n } ∞ n =0 be an orthogonal polynomial sequence on the real line with respect to a probability measure μ with compact and infinite support and D N = ∑ N n =0 P n h n the N th element of the Dirichlet kernel, where h n = ( ∫ P 2 n dμ ) − 1 . We are investigating the r th integer power D r N and prove for special orthogonal polynomials that in the case r ∈ N \ { 1 } the sequence { D r N } ∞ N =0 gives rise to an approximate identity. This applies for example for Jacobi polynomials.
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Publication type
Article: Journal article
Document type
Scientific Article
Keywords
Approximate Identities ; Dirichlet Kernel ; Orthogonal Polynomials
ISSN (print) / ISBN
0001-6969
Journal
Acta Scientiarum Mathematicarum
Quellenangaben
Volume: 83,
Issue: 3-4,
Pages: 539-549
Publisher
Bolyai Institute, University of Szeged
Non-patent literature
Publications
Reviewing status
Peer reviewed
Institute(s)
Institute of Computational Biology (ICB)