Multivariate complex B-splines and Dirichlet averages
نویسندگان
چکیده
The notion of 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 R, 1 < s ∈ N, the Dirichlet average has to be generalized to include infinite dimensional simplices △∞. Based on this generalization several identities of multivariate complex B-splines are presented.
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ورودعنوان ژورنال:
- Journal of Approximation Theory
دوره 162 شماره
صفحات -
تاریخ انتشار 2010