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Open Access Green as soon as Postprint is submitted to ZB.
Multivariate complex B-splines and Dirichlet averages.
J. Approx. Theory 162, 252-269 (2010)
The notion of a complex B-spline is extended to a multivariate setting by means of ridge functions employing the known geometric relationship between ordinary B-splines and multivariate B-splines. To derive properties of complex B-splines in View the MathML source, View the MathML source, the Dirichlet average has to be generalized to include infinite-dimensional simplices Δ∞. Based on this generalization several identities of multivariate complex B-splines are presented.
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Publication type
Article: Journal article
Document type
Scientific Article
Keywords
Complex splines; Multivariate splines; Dirichlet average; Weyl fractional derivative and integral
ISSN (print) / ISBN
0021-9045
e-ISSN
1096-0430
Journal
Journal of Approximation Theory
Quellenangaben
Volume: 162,
Issue: 2,
Pages: 252-269
Publisher
Elsevier
Reviewing status
Peer reviewed
Institute(s)
Institute of Biomathematics and Biometry (IBB)