On Positivity Properties of Fundamental Cardinal Polysplines
نویسندگان
چکیده
A b s t r a c t. Polysplines on strips of order p are natural generalizations of univariate splines. In [3] and [4] interpolation results for cardinal polysplines on strips have been proven. In this paper the following problems will be addressed: (i) positivity of the fundamental polyspline on the strip [−1, 1] × Rn, and (ii) uniqueness of interpolation for polynomially bounded cardinal polysplines. AMS Mathematics Subject Classification (2000): 41A82
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تاریخ انتشار 2006