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Remarks on exponential splines, in particular a contour integral representation of exponential B-splines (1989)

Walz, Guido ; Brosowski, B.

Chichester, West Sussex : Wiley-Blackwell

Mathematical Methods in the Applied Sciences 11 (1989), S. 821-827

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ISSN: 0170-4214

Keywords: Mathematics and Statistics ; Applied Mathematics

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Mathematics

Notes: In the present paper we consider spline functions which are piecewise exponential sums of the form Σμ=1m αμeμx. Using the notation of Schumaker [10], we construct recursively computable B-splines of this space, where we make use of a complex contour integral.Furthermore, it is shown that this definition of a B-spline coincides in a certain sense with the ‘usual’ ones. which are based on the concept of generalized divided differences (e.g. [3, 12]).Finally, some additional properties of exponential B-splines are presented, including a differential relation.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1002/mma.1670110607

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